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Simplifying 2z + -4(x + -5) = -3 + 4x + -10 Reorder the terms: 2z + -4(-5 + x) = -3 + 4x + -10 2z + (-5 * -4 + x * -4) = -3 + 4x + -10 2z + (20 + -4x) = -3 + 4x + -10 Reorder the terms: 20 + -4x + 2z = -3 + 4x + -10 Reorder the terms: 20 + -4x + 2z = -3 + -10 + 4x Combine like terms: -3 + -10 = -13 20 + -4x + 2z = -13 + 4x Solving 20 + -4x + 2z = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -4x + -4x + 2z = -13 + 4x + -4x Combine like terms: -4x + -4x = -8x 20 + -8x + 2z = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -8x + 2z = -13 + 0 20 + -8x + 2z = -13 Add '-20' to each side of the equation. 20 + -8x + -20 + 2z = -13 + -20 Reorder the terms: 20 + -20 + -8x + 2z = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -8x + 2z = -13 + -20 -8x + 2z = -13 + -20 Combine like terms: -13 + -20 = -33 -8x + 2z = -33 Add '-2z' to each side of the equation. -8x + 2z + -2z = -33 + -2z Combine like terms: 2z + -2z = 0 -8x + 0 = -33 + -2z -8x = -33 + -2z Divide each side by '-8'. x = 4.125 + 0.25z Simplifying x = 4.125 + 0.25z
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