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Simplifying (5x + -5) + 9 = 6(x + -9) Reorder the terms: (-5 + 5x) + 9 = 6(x + -9) Remove parenthesis around (-5 + 5x) -5 + 5x + 9 = 6(x + -9) Reorder the terms: -5 + 9 + 5x = 6(x + -9) Combine like terms: -5 + 9 = 4 4 + 5x = 6(x + -9) Reorder the terms: 4 + 5x = 6(-9 + x) 4 + 5x = (-9 * 6 + x * 6) 4 + 5x = (-54 + 6x) Solving 4 + 5x = -54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 5x + -6x = -54 + 6x + -6x Combine like terms: 5x + -6x = -1x 4 + -1x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -1x = -54 + 0 4 + -1x = -54 Add '-4' to each side of the equation. 4 + -4 + -1x = -54 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -54 + -4 -1x = -54 + -4 Combine like terms: -54 + -4 = -58 -1x = -58 Divide each side by '-1'. x = 58 Simplifying x = 58
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