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Simplifying 10x + -3 + 3(x + -5) = 2(5x + 3) Reorder the terms: 10x + -3 + 3(-5 + x) = 2(5x + 3) 10x + -3 + (-5 * 3 + x * 3) = 2(5x + 3) 10x + -3 + (-15 + 3x) = 2(5x + 3) Reorder the terms: -3 + -15 + 10x + 3x = 2(5x + 3) Combine like terms: -3 + -15 = -18 -18 + 10x + 3x = 2(5x + 3) Combine like terms: 10x + 3x = 13x -18 + 13x = 2(5x + 3) Reorder the terms: -18 + 13x = 2(3 + 5x) -18 + 13x = (3 * 2 + 5x * 2) -18 + 13x = (6 + 10x) Solving -18 + 13x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 13x + -10x = 6 + 10x + -10x Combine like terms: 13x + -10x = 3x -18 + 3x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 3x = 6 + 0 -18 + 3x = 6 Add '18' to each side of the equation. -18 + 18 + 3x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 6 + 18 3x = 6 + 18 Combine like terms: 6 + 18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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