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Simplifying 5(2x + 9) + -2 = 15x + -2(x + -5) Reorder the terms: 5(9 + 2x) + -2 = 15x + -2(x + -5) (9 * 5 + 2x * 5) + -2 = 15x + -2(x + -5) (45 + 10x) + -2 = 15x + -2(x + -5) Reorder the terms: 45 + -2 + 10x = 15x + -2(x + -5) Combine like terms: 45 + -2 = 43 43 + 10x = 15x + -2(x + -5) Reorder the terms: 43 + 10x = 15x + -2(-5 + x) 43 + 10x = 15x + (-5 * -2 + x * -2) 43 + 10x = 15x + (10 + -2x) Reorder the terms: 43 + 10x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x 43 + 10x = 10 + 13x Solving 43 + 10x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 43 + 10x + -13x = 10 + 13x + -13x Combine like terms: 10x + -13x = -3x 43 + -3x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 43 + -3x = 10 + 0 43 + -3x = 10 Add '-43' to each side of the equation. 43 + -43 + -3x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 10 + -43 -3x = 10 + -43 Combine like terms: 10 + -43 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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