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Simplifying 2(4 + -8x) + 3x = -2(x + -12) + 4 (4 * 2 + -8x * 2) + 3x = -2(x + -12) + 4 (8 + -16x) + 3x = -2(x + -12) + 4 Combine like terms: -16x + 3x = -13x 8 + -13x = -2(x + -12) + 4 Reorder the terms: 8 + -13x = -2(-12 + x) + 4 8 + -13x = (-12 * -2 + x * -2) + 4 8 + -13x = (24 + -2x) + 4 Reorder the terms: 8 + -13x = 24 + 4 + -2x Combine like terms: 24 + 4 = 28 8 + -13x = 28 + -2x Solving 8 + -13x = 28 + -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 = 28 + -2x + 2x Combine like terms: -13x + 2x = -11x 8 + -11x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -11x = 28 + 0 8 + -11x = 28 Add '-8' to each side of the equation. 8 + -8 + -11x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 28 + -8 -11x = 28 + -8 Combine like terms: 28 + -8 = 20 -11x = 20 Divide each side by '-11'. x = -1.818181818 Simplifying x = -1.818181818
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