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Simplifying 9(9 + -1x) + 6 = -6(x + -4) + -6 (9 * 9 + -1x * 9) + 6 = -6(x + -4) + -6 (81 + -9x) + 6 = -6(x + -4) + -6 Reorder the terms: 81 + 6 + -9x = -6(x + -4) + -6 Combine like terms: 81 + 6 = 87 87 + -9x = -6(x + -4) + -6 Reorder the terms: 87 + -9x = -6(-4 + x) + -6 87 + -9x = (-4 * -6 + x * -6) + -6 87 + -9x = (24 + -6x) + -6 Reorder the terms: 87 + -9x = 24 + -6 + -6x Combine like terms: 24 + -6 = 18 87 + -9x = 18 + -6x Solving 87 + -9x = 18 + -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. 87 + -9x + 6x = 18 + -6x + 6x Combine like terms: -9x + 6x = -3x 87 + -3x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 87 + -3x = 18 + 0 87 + -3x = 18 Add '-87' to each side of the equation. 87 + -87 + -3x = 18 + -87 Combine like terms: 87 + -87 = 0 0 + -3x = 18 + -87 -3x = 18 + -87 Combine like terms: 18 + -87 = -69 -3x = -69 Divide each side by '-3'. x = 23 Simplifying x = 23
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