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Simplifying 5 + -5(3x + -2) = 38 + -2(x + -8) Reorder the terms: 5 + -5(-2 + 3x) = 38 + -2(x + -8) 5 + (-2 * -5 + 3x * -5) = 38 + -2(x + -8) 5 + (10 + -15x) = 38 + -2(x + -8) Combine like terms: 5 + 10 = 15 15 + -15x = 38 + -2(x + -8) Reorder the terms: 15 + -15x = 38 + -2(-8 + x) 15 + -15x = 38 + (-8 * -2 + x * -2) 15 + -15x = 38 + (16 + -2x) Combine like terms: 38 + 16 = 54 15 + -15x = 54 + -2x Solving 15 + -15x = 54 + -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. 15 + -15x + 2x = 54 + -2x + 2x Combine like terms: -15x + 2x = -13x 15 + -13x = 54 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -13x = 54 + 0 15 + -13x = 54 Add '-15' to each side of the equation. 15 + -15 + -13x = 54 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = 54 + -15 -13x = 54 + -15 Combine like terms: 54 + -15 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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