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Simplifying z + -1(5 + -3x) = 7x + 4 z + (5 * -1 + -3x * -1) = 7x + 4 z + (-5 + 3x) = 7x + 4 Reorder the terms: -5 + 3x + z = 7x + 4 Reorder the terms: -5 + 3x + z = 4 + 7x Solving -5 + 3x + z = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 3x + -7x + z = 4 + 7x + -7x Combine like terms: 3x + -7x = -4x -5 + -4x + z = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -4x + z = 4 + 0 -5 + -4x + z = 4 Add '5' to each side of the equation. -5 + -4x + 5 + z = 4 + 5 Reorder the terms: -5 + 5 + -4x + z = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + z = 4 + 5 -4x + z = 4 + 5 Combine like terms: 4 + 5 = 9 -4x + z = 9 Add '-1z' to each side of the equation. -4x + z + -1z = 9 + -1z Combine like terms: z + -1z = 0 -4x + 0 = 9 + -1z -4x = 9 + -1z Divide each side by '-4'. x = -2.25 + 0.25z Simplifying x = -2.25 + 0.25z
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