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Simplifying 5(2x + -3) + -5x = 9(2x + -6) Reorder the terms: 5(-3 + 2x) + -5x = 9(2x + -6) (-3 * 5 + 2x * 5) + -5x = 9(2x + -6) (-15 + 10x) + -5x = 9(2x + -6) Combine like terms: 10x + -5x = 5x -15 + 5x = 9(2x + -6) Reorder the terms: -15 + 5x = 9(-6 + 2x) -15 + 5x = (-6 * 9 + 2x * 9) -15 + 5x = (-54 + 18x) Solving -15 + 5x = -54 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 5x + -18x = -54 + 18x + -18x Combine like terms: 5x + -18x = -13x -15 + -13x = -54 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + -13x = -54 + 0 -15 + -13x = -54 Add '15' to each side of the equation. -15 + 15 + -13x = -54 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -54 + 15 -13x = -54 + 15 Combine like terms: -54 + 15 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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