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Simplifying 8(2x + -1) + -2(x + 3) = 3(5x + -6) Reorder the terms: 8(-1 + 2x) + -2(x + 3) = 3(5x + -6) (-1 * 8 + 2x * 8) + -2(x + 3) = 3(5x + -6) (-8 + 16x) + -2(x + 3) = 3(5x + -6) Reorder the terms: -8 + 16x + -2(3 + x) = 3(5x + -6) -8 + 16x + (3 * -2 + x * -2) = 3(5x + -6) -8 + 16x + (-6 + -2x) = 3(5x + -6) Reorder the terms: -8 + -6 + 16x + -2x = 3(5x + -6) Combine like terms: -8 + -6 = -14 -14 + 16x + -2x = 3(5x + -6) Combine like terms: 16x + -2x = 14x -14 + 14x = 3(5x + -6) Reorder the terms: -14 + 14x = 3(-6 + 5x) -14 + 14x = (-6 * 3 + 5x * 3) -14 + 14x = (-18 + 15x) Solving -14 + 14x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -14 + 14x + -15x = -18 + 15x + -15x Combine like terms: 14x + -15x = -1x -14 + -1x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + -1x = -18 + 0 -14 + -1x = -18 Add '14' to each side of the equation. -14 + 14 + -1x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -18 + 14 -1x = -18 + 14 Combine like terms: -18 + 14 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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