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Simplifying 5(3x + 9) + -3x = 15x + -2(x + -5) Reorder the terms: 5(9 + 3x) + -3x = 15x + -2(x + -5) (9 * 5 + 3x * 5) + -3x = 15x + -2(x + -5) (45 + 15x) + -3x = 15x + -2(x + -5) Combine like terms: 15x + -3x = 12x 45 + 12x = 15x + -2(x + -5) Reorder the terms: 45 + 12x = 15x + -2(-5 + x) 45 + 12x = 15x + (-5 * -2 + x * -2) 45 + 12x = 15x + (10 + -2x) Reorder the terms: 45 + 12x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x 45 + 12x = 10 + 13x Solving 45 + 12x = 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. 45 + 12x + -13x = 10 + 13x + -13x Combine like terms: 12x + -13x = -1x 45 + -1x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 45 + -1x = 10 + 0 45 + -1x = 10 Add '-45' to each side of the equation. 45 + -45 + -1x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 10 + -45 -1x = 10 + -45 Combine like terms: 10 + -45 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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