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Simplifying 5(2x + -3) = 12x + -1(1x + 8) Reorder the terms: 5(-3 + 2x) = 12x + -1(1x + 8) (-3 * 5 + 2x * 5) = 12x + -1(1x + 8) (-15 + 10x) = 12x + -1(1x + 8) Reorder the terms: -15 + 10x = 12x + -1(8 + 1x) -15 + 10x = 12x + (8 * -1 + 1x * -1) -15 + 10x = 12x + (-8 + -1x) Reorder the terms: -15 + 10x = -8 + 12x + -1x Combine like terms: 12x + -1x = 11x -15 + 10x = -8 + 11x Solving -15 + 10x = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -15 + 10x + -11x = -8 + 11x + -11x Combine like terms: 10x + -11x = -1x -15 + -1x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + -1x = -8 + 0 -15 + -1x = -8 Add '15' to each side of the equation. -15 + 15 + -1x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -8 + 15 -1x = -8 + 15 Combine like terms: -8 + 15 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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