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Simplifying 5(3x + 1) + -3(x + -1) = 2(x + 10) Reorder the terms: 5(1 + 3x) + -3(x + -1) = 2(x + 10) (1 * 5 + 3x * 5) + -3(x + -1) = 2(x + 10) (5 + 15x) + -3(x + -1) = 2(x + 10) Reorder the terms: 5 + 15x + -3(-1 + x) = 2(x + 10) 5 + 15x + (-1 * -3 + x * -3) = 2(x + 10) 5 + 15x + (3 + -3x) = 2(x + 10) Reorder the terms: 5 + 3 + 15x + -3x = 2(x + 10) Combine like terms: 5 + 3 = 8 8 + 15x + -3x = 2(x + 10) Combine like terms: 15x + -3x = 12x 8 + 12x = 2(x + 10) Reorder the terms: 8 + 12x = 2(10 + x) 8 + 12x = (10 * 2 + x * 2) 8 + 12x = (20 + 2x) Solving 8 + 12x = 20 + 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. 8 + 12x + -2x = 20 + 2x + -2x Combine like terms: 12x + -2x = 10x 8 + 10x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 10x = 20 + 0 8 + 10x = 20 Add '-8' to each side of the equation. 8 + -8 + 10x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 20 + -8 10x = 20 + -8 Combine like terms: 20 + -8 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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