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Simplifying 4(3x + 5) = -2(x + -3) Reorder the terms: 4(5 + 3x) = -2(x + -3) (5 * 4 + 3x * 4) = -2(x + -3) (20 + 12x) = -2(x + -3) Reorder the terms: 20 + 12x = -2(-3 + x) 20 + 12x = (-3 * -2 + x * -2) 20 + 12x = (6 + -2x) Solving 20 + 12x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 12x + 2x = 6 + -2x + 2x Combine like terms: 12x + 2x = 14x 20 + 14x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 14x = 6 + 0 20 + 14x = 6 Add '-20' to each side of the equation. 20 + -20 + 14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 6 + -20 14x = 6 + -20 Combine like terms: 6 + -20 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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