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Simplifying 5(x + 3) + -8(2x + -6) = 12 Reorder the terms: 5(3 + x) + -8(2x + -6) = 12 (3 * 5 + x * 5) + -8(2x + -6) = 12 (15 + 5x) + -8(2x + -6) = 12 Reorder the terms: 15 + 5x + -8(-6 + 2x) = 12 15 + 5x + (-6 * -8 + 2x * -8) = 12 15 + 5x + (48 + -16x) = 12 Reorder the terms: 15 + 48 + 5x + -16x = 12 Combine like terms: 15 + 48 = 63 63 + 5x + -16x = 12 Combine like terms: 5x + -16x = -11x 63 + -11x = 12 Solving 63 + -11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -11x = 12 + -63 Combine like terms: 63 + -63 = 0 0 + -11x = 12 + -63 -11x = 12 + -63 Combine like terms: 12 + -63 = -51 -11x = -51 Divide each side by '-11'. x = 4.636363636 Simplifying x = 4.636363636
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