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Simplifying 5(4z + 6) + -2(x + -4) = 7z(z + 4) + -1z(7z + -2) + -48 Reorder the terms: 5(6 + 4z) + -2(x + -4) = 7z(z + 4) + -1z(7z + -2) + -48 (6 * 5 + 4z * 5) + -2(x + -4) = 7z(z + 4) + -1z(7z + -2) + -48 (30 + 20z) + -2(x + -4) = 7z(z + 4) + -1z(7z + -2) + -48 Reorder the terms: 30 + 20z + -2(-4 + x) = 7z(z + 4) + -1z(7z + -2) + -48 30 + 20z + (-4 * -2 + x * -2) = 7z(z + 4) + -1z(7z + -2) + -48 30 + 20z + (8 + -2x) = 7z(z + 4) + -1z(7z + -2) + -48 Reorder the terms: 30 + 8 + -2x + 20z = 7z(z + 4) + -1z(7z + -2) + -48 Combine like terms: 30 + 8 = 38 38 + -2x + 20z = 7z(z + 4) + -1z(7z + -2) + -48 Reorder the terms: 38 + -2x + 20z = 7z(4 + z) + -1z(7z + -2) + -48 38 + -2x + 20z = (4 * 7z + z * 7z) + -1z(7z + -2) + -48 38 + -2x + 20z = (28z + 7z2) + -1z(7z + -2) + -48 Reorder the terms: 38 + -2x + 20z = 28z + 7z2 + -1z(-2 + 7z) + -48 38 + -2x + 20z = 28z + 7z2 + (-2 * -1z + 7z * -1z) + -48 38 + -2x + 20z = 28z + 7z2 + (2z + -7z2) + -48 Reorder the terms: 38 + -2x + 20z = -48 + 28z + 2z + 7z2 + -7z2 Combine like terms: 28z + 2z = 30z 38 + -2x + 20z = -48 + 30z + 7z2 + -7z2 Combine like terms: 7z2 + -7z2 = 0 38 + -2x + 20z = -48 + 30z + 0 38 + -2x + 20z = -48 + 30z Solving 38 + -2x + 20z = -48 + 30z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -2x + -38 + 20z = -48 + -38 + 30z Reorder the terms: 38 + -38 + -2x + 20z = -48 + -38 + 30z Combine like terms: 38 + -38 = 0 0 + -2x + 20z = -48 + -38 + 30z -2x + 20z = -48 + -38 + 30z Combine like terms: -48 + -38 = -86 -2x + 20z = -86 + 30z Add '-20z' to each side of the equation. -2x + 20z + -20z = -86 + 30z + -20z Combine like terms: 20z + -20z = 0 -2x + 0 = -86 + 30z + -20z -2x = -86 + 30z + -20z Combine like terms: 30z + -20z = 10z -2x = -86 + 10z Divide each side by '-2'. x = 43 + -5z Simplifying x = 43 + -5z
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