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Simplifying 2(4 + -8x) + 3x = -2(x + -12) + 3 (4 * 2 + -8x * 2) + 3x = -2(x + -12) + 3 (8 + -16x) + 3x = -2(x + -12) + 3 Combine like terms: -16x + 3x = -13x 8 + -13x = -2(x + -12) + 3 Reorder the terms: 8 + -13x = -2(-12 + x) + 3 8 + -13x = (-12 * -2 + x * -2) + 3 8 + -13x = (24 + -2x) + 3 Reorder the terms: 8 + -13x = 24 + 3 + -2x Combine like terms: 24 + 3 = 27 8 + -13x = 27 + -2x Solving 8 + -13x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -13x + 2x = 27 + -2x + 2x Combine like terms: -13x + 2x = -11x 8 + -11x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -11x = 27 + 0 8 + -11x = 27 Add '-8' to each side of the equation. 8 + -8 + -11x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 27 + -8 -11x = 27 + -8 Combine like terms: 27 + -8 = 19 -11x = 19 Divide each side by '-11'. x = -1.727272727 Simplifying x = -1.727272727
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