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Simplifying 5(3x + -5) + 9 = 2(x + 5) Reorder the terms: 5(-5 + 3x) + 9 = 2(x + 5) (-5 * 5 + 3x * 5) + 9 = 2(x + 5) (-25 + 15x) + 9 = 2(x + 5) Reorder the terms: -25 + 9 + 15x = 2(x + 5) Combine like terms: -25 + 9 = -16 -16 + 15x = 2(x + 5) Reorder the terms: -16 + 15x = 2(5 + x) -16 + 15x = (5 * 2 + x * 2) -16 + 15x = (10 + 2x) Solving -16 + 15x = 10 + 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. -16 + 15x + -2x = 10 + 2x + -2x Combine like terms: 15x + -2x = 13x -16 + 13x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 13x = 10 + 0 -16 + 13x = 10 Add '16' to each side of the equation. -16 + 16 + 13x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = 10 + 16 13x = 10 + 16 Combine like terms: 10 + 16 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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