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Simplifying 5(3x + 9) + -2x = 14x + -2(x + -5) Reorder the terms: 5(9 + 3x) + -2x = 14x + -2(x + -5) (9 * 5 + 3x * 5) + -2x = 14x + -2(x + -5) (45 + 15x) + -2x = 14x + -2(x + -5) Combine like terms: 15x + -2x = 13x 45 + 13x = 14x + -2(x + -5) Reorder the terms: 45 + 13x = 14x + -2(-5 + x) 45 + 13x = 14x + (-5 * -2 + x * -2) 45 + 13x = 14x + (10 + -2x) Reorder the terms: 45 + 13x = 10 + 14x + -2x Combine like terms: 14x + -2x = 12x 45 + 13x = 10 + 12x Solving 45 + 13x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 13x + -12x = 10 + 12x + -12x Combine like terms: 13x + -12x = 1x 45 + 1x = 10 + 12x + -12x Combine like terms: 12x + -12x = 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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