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Simplifying 2(3x + -6) + 3x = -6 + -1(9 + -8x) + 3x Reorder the terms: 2(-6 + 3x) + 3x = -6 + -1(9 + -8x) + 3x (-6 * 2 + 3x * 2) + 3x = -6 + -1(9 + -8x) + 3x (-12 + 6x) + 3x = -6 + -1(9 + -8x) + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -6 + -1(9 + -8x) + 3x -12 + 9x = -6 + (9 * -1 + -8x * -1) + 3x -12 + 9x = -6 + (-9 + 8x) + 3x Combine like terms: -6 + -9 = -15 -12 + 9x = -15 + 8x + 3x Combine like terms: 8x + 3x = 11x -12 + 9x = -15 + 11x Solving -12 + 9x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + 9x + -11x = -15 + 11x + -11x Combine like terms: 9x + -11x = -2x -12 + -2x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + -2x = -15 + 0 -12 + -2x = -15 Add '12' to each side of the equation. -12 + 12 + -2x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -15 + 12 -2x = -15 + 12 Combine like terms: -15 + 12 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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