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Simplifying 4(3 + -5x) + 9 = -2x + -15 (3 * 4 + -5x * 4) + 9 = -2x + -15 (12 + -20x) + 9 = -2x + -15 Reorder the terms: 12 + 9 + -20x = -2x + -15 Combine like terms: 12 + 9 = 21 21 + -20x = -2x + -15 Reorder the terms: 21 + -20x = -15 + -2x Solving 21 + -20x = -15 + -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. 21 + -20x + 2x = -15 + -2x + 2x Combine like terms: -20x + 2x = -18x 21 + -18x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -18x = -15 + 0 21 + -18x = -15 Add '-21' to each side of the equation. 21 + -21 + -18x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = -15 + -21 -18x = -15 + -21 Combine like terms: -15 + -21 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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