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Simplifying 3(2 + -1x) + -1(3 + -1x) = 8(2x + -3) (2 * 3 + -1x * 3) + -1(3 + -1x) = 8(2x + -3) (6 + -3x) + -1(3 + -1x) = 8(2x + -3) 6 + -3x + (3 * -1 + -1x * -1) = 8(2x + -3) 6 + -3x + (-3 + 1x) = 8(2x + -3) Reorder the terms: 6 + -3 + -3x + 1x = 8(2x + -3) Combine like terms: 6 + -3 = 3 3 + -3x + 1x = 8(2x + -3) Combine like terms: -3x + 1x = -2x 3 + -2x = 8(2x + -3) Reorder the terms: 3 + -2x = 8(-3 + 2x) 3 + -2x = (-3 * 8 + 2x * 8) 3 + -2x = (-24 + 16x) Solving 3 + -2x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3 + -2x + -16x = -24 + 16x + -16x Combine like terms: -2x + -16x = -18x 3 + -18x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 3 + -18x = -24 + 0 3 + -18x = -24 Add '-3' to each side of the equation. 3 + -3 + -18x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = -24 + -3 -18x = -24 + -3 Combine like terms: -24 + -3 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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