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Simplifying z + -1(14 + 2x) = 13 + (2x + -3) z + (14 * -1 + 2x * -1) = 13 + (2x + -3) z + (-14 + -2x) = 13 + (2x + -3) Reorder the terms: -14 + -2x + z = 13 + (2x + -3) Reorder the terms: -14 + -2x + z = 13 + (-3 + 2x) Remove parenthesis around (-3 + 2x) -14 + -2x + z = 13 + -3 + 2x Combine like terms: 13 + -3 = 10 -14 + -2x + z = 10 + 2x Solving -14 + -2x + z = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + -2x + -2x + z = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x -14 + -4x + z = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -4x + z = 10 + 0 -14 + -4x + z = 10 Add '14' to each side of the equation. -14 + -4x + 14 + z = 10 + 14 Reorder the terms: -14 + 14 + -4x + z = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -4x + z = 10 + 14 -4x + z = 10 + 14 Combine like terms: 10 + 14 = 24 -4x + z = 24 Add '-1z' to each side of the equation. -4x + z + -1z = 24 + -1z Combine like terms: z + -1z = 0 -4x + 0 = 24 + -1z -4x = 24 + -1z Divide each side by '-4'. x = -6 + 0.25z Simplifying x = -6 + 0.25z
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