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Simplifying -1x + 23 = 3(4x + -4) + 9 Reorder the terms: 23 + -1x = 3(4x + -4) + 9 Reorder the terms: 23 + -1x = 3(-4 + 4x) + 9 23 + -1x = (-4 * 3 + 4x * 3) + 9 23 + -1x = (-12 + 12x) + 9 Reorder the terms: 23 + -1x = -12 + 9 + 12x Combine like terms: -12 + 9 = -3 23 + -1x = -3 + 12x Solving 23 + -1x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 23 + -1x + -12x = -3 + 12x + -12x Combine like terms: -1x + -12x = -13x 23 + -13x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + -13x = -3 + 0 23 + -13x = -3 Add '-23' to each side of the equation. 23 + -23 + -13x = -3 + -23 Combine like terms: 23 + -23 = 0 0 + -13x = -3 + -23 -13x = -3 + -23 Combine like terms: -3 + -23 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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