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Simplifying 8 + -2(3x + 5) = 5(2x + -6) + -12 Reorder the terms: 8 + -2(5 + 3x) = 5(2x + -6) + -12 8 + (5 * -2 + 3x * -2) = 5(2x + -6) + -12 8 + (-10 + -6x) = 5(2x + -6) + -12 Combine like terms: 8 + -10 = -2 -2 + -6x = 5(2x + -6) + -12 Reorder the terms: -2 + -6x = 5(-6 + 2x) + -12 -2 + -6x = (-6 * 5 + 2x * 5) + -12 -2 + -6x = (-30 + 10x) + -12 Reorder the terms: -2 + -6x = -30 + -12 + 10x Combine like terms: -30 + -12 = -42 -2 + -6x = -42 + 10x Solving -2 + -6x = -42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + -6x + -10x = -42 + 10x + -10x Combine like terms: -6x + -10x = -16x -2 + -16x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -16x = -42 + 0 -2 + -16x = -42 Add '2' to each side of the equation. -2 + 2 + -16x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = -42 + 2 -16x = -42 + 2 Combine like terms: -42 + 2 = -40 -16x = -40 Divide each side by '-16'. x = 2.5 Simplifying x = 2.5
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