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Simplifying 5(3x + 3) + -2x = 14x + 2(x + -5) Reorder the terms: 5(3 + 3x) + -2x = 14x + 2(x + -5) (3 * 5 + 3x * 5) + -2x = 14x + 2(x + -5) (15 + 15x) + -2x = 14x + 2(x + -5) Combine like terms: 15x + -2x = 13x 15 + 13x = 14x + 2(x + -5) Reorder the terms: 15 + 13x = 14x + 2(-5 + x) 15 + 13x = 14x + (-5 * 2 + x * 2) 15 + 13x = 14x + (-10 + 2x) Reorder the terms: 15 + 13x = -10 + 14x + 2x Combine like terms: 14x + 2x = 16x 15 + 13x = -10 + 16x Solving 15 + 13x = -10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + 13x + -16x = -10 + 16x + -16x Combine like terms: 13x + -16x = -3x 15 + -3x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -3x = -10 + 0 15 + -3x = -10 Add '-15' to each side of the equation. 15 + -15 + -3x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -10 + -15 -3x = -10 + -15 Combine like terms: -10 + -15 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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