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Simplifying 5(3x + 6) = 3x + -9 + -1x Reorder the terms: 5(6 + 3x) = 3x + -9 + -1x (6 * 5 + 3x * 5) = 3x + -9 + -1x (30 + 15x) = 3x + -9 + -1x Reorder the terms: 30 + 15x = -9 + 3x + -1x Combine like terms: 3x + -1x = 2x 30 + 15x = -9 + 2x Solving 30 + 15x = -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. 30 + 15x + -2x = -9 + 2x + -2x Combine like terms: 15x + -2x = 13x 30 + 13x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 13x = -9 + 0 30 + 13x = -9 Add '-30' to each side of the equation. 30 + -30 + 13x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = -9 + -30 13x = -9 + -30 Combine like terms: -9 + -30 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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