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Simplifying 3(2 + -3x) + -1(4 + -1x) = 8(-2 + x) (2 * 3 + -3x * 3) + -1(4 + -1x) = 8(-2 + x) (6 + -9x) + -1(4 + -1x) = 8(-2 + x) 6 + -9x + (4 * -1 + -1x * -1) = 8(-2 + x) 6 + -9x + (-4 + 1x) = 8(-2 + x) Reorder the terms: 6 + -4 + -9x + 1x = 8(-2 + x) Combine like terms: 6 + -4 = 2 2 + -9x + 1x = 8(-2 + x) Combine like terms: -9x + 1x = -8x 2 + -8x = 8(-2 + x) 2 + -8x = (-2 * 8 + x * 8) 2 + -8x = (-16 + 8x) Solving 2 + -8x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -8x + -8x = -16 + 8x + -8x Combine like terms: -8x + -8x = -16x 2 + -16x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -16x = -16 + 0 2 + -16x = -16 Add '-2' to each side of the equation. 2 + -2 + -16x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = -16 + -2 -16x = -16 + -2 Combine like terms: -16 + -2 = -18 -16x = -18 Divide each side by '-16'. x = 1.125 Simplifying x = 1.125
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