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Simplifying 3(5 + -2x) + 4x = 2x + -9 (5 * 3 + -2x * 3) + 4x = 2x + -9 (15 + -6x) + 4x = 2x + -9 Combine like terms: -6x + 4x = -2x 15 + -2x = 2x + -9 Reorder the terms: 15 + -2x = -9 + 2x Solving 15 + -2x = -9 + 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. 15 + -2x + -2x = -9 + 2x + -2x Combine like terms: -2x + -2x = -4x 15 + -4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -4x = -9 + 0 15 + -4x = -9 Add '-15' to each side of the equation. 15 + -15 + -4x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -9 + -15 -4x = -9 + -15 Combine like terms: -9 + -15 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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