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Simplifying 8(3x + 5) = -2(-5x + 9) + 12 Reorder the terms: 8(5 + 3x) = -2(-5x + 9) + 12 (5 * 8 + 3x * 8) = -2(-5x + 9) + 12 (40 + 24x) = -2(-5x + 9) + 12 Reorder the terms: 40 + 24x = -2(9 + -5x) + 12 40 + 24x = (9 * -2 + -5x * -2) + 12 40 + 24x = (-18 + 10x) + 12 Reorder the terms: 40 + 24x = -18 + 12 + 10x Combine like terms: -18 + 12 = -6 40 + 24x = -6 + 10x Solving 40 + 24x = -6 + 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. 40 + 24x + -10x = -6 + 10x + -10x Combine like terms: 24x + -10x = 14x 40 + 14x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 14x = -6 + 0 40 + 14x = -6 Add '-40' to each side of the equation. 40 + -40 + 14x = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 14x = -6 + -40 14x = -6 + -40 Combine like terms: -6 + -40 = -46 14x = -46 Divide each side by '14'. x = -3.285714286 Simplifying x = -3.285714286
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