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Simplifying 6[x + -2] + 5x = 9x + -2[4 + -3x] Reorder the terms: 6[-2 + x] + 5x = 9x + -2[4 + -3x] [-2 * 6 + x * 6] + 5x = 9x + -2[4 + -3x] [-12 + 6x] + 5x = 9x + -2[4 + -3x] Combine like terms: 6x + 5x = 11x -12 + 11x = 9x + -2[4 + -3x] -12 + 11x = 9x + [4 * -2 + -3x * -2] -12 + 11x = 9x + [-8 + 6x] Reorder the terms: -12 + 11x = -8 + 9x + 6x Combine like terms: 9x + 6x = 15x -12 + 11x = -8 + 15x Solving -12 + 11x = -8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 11x + -15x = -8 + 15x + -15x Combine like terms: 11x + -15x = -4x -12 + -4x = -8 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -4x = -8 + 0 -12 + -4x = -8 Add '12' to each side of the equation. -12 + 12 + -4x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -8 + 12 -4x = -8 + 12 Combine like terms: -8 + 12 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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