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Simplifying 4(z + 7) + -1(2x + -1) = z Reorder the terms: 4(7 + z) + -1(2x + -1) = z (7 * 4 + z * 4) + -1(2x + -1) = z (28 + 4z) + -1(2x + -1) = z Reorder the terms: 28 + 4z + -1(-1 + 2x) = z 28 + 4z + (-1 * -1 + 2x * -1) = z 28 + 4z + (1 + -2x) = z Reorder the terms: 28 + 1 + -2x + 4z = z Combine like terms: 28 + 1 = 29 29 + -2x + 4z = z Solving 29 + -2x + 4z = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -2x + -29 + 4z = -29 + z Reorder the terms: 29 + -29 + -2x + 4z = -29 + z Combine like terms: 29 + -29 = 0 0 + -2x + 4z = -29 + z -2x + 4z = -29 + z Add '-4z' to each side of the equation. -2x + 4z + -4z = -29 + z + -4z Combine like terms: 4z + -4z = 0 -2x + 0 = -29 + z + -4z -2x = -29 + z + -4z Combine like terms: z + -4z = -3z -2x = -29 + -3z Divide each side by '-2'. x = 14.5 + 1.5z Simplifying x = 14.5 + 1.5z
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