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Simplifying 5(2x + -1) + 3(x + -2) = 10(x + 1) Reorder the terms: 5(-1 + 2x) + 3(x + -2) = 10(x + 1) (-1 * 5 + 2x * 5) + 3(x + -2) = 10(x + 1) (-5 + 10x) + 3(x + -2) = 10(x + 1) Reorder the terms: -5 + 10x + 3(-2 + x) = 10(x + 1) -5 + 10x + (-2 * 3 + x * 3) = 10(x + 1) -5 + 10x + (-6 + 3x) = 10(x + 1) Reorder the terms: -5 + -6 + 10x + 3x = 10(x + 1) Combine like terms: -5 + -6 = -11 -11 + 10x + 3x = 10(x + 1) Combine like terms: 10x + 3x = 13x -11 + 13x = 10(x + 1) Reorder the terms: -11 + 13x = 10(1 + x) -11 + 13x = (1 * 10 + x * 10) -11 + 13x = (10 + 10x) Solving -11 + 13x = 10 + 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. -11 + 13x + -10x = 10 + 10x + -10x Combine like terms: 13x + -10x = 3x -11 + 3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + 3x = 10 + 0 -11 + 3x = 10 Add '11' to each side of the equation. -11 + 11 + 3x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 10 + 11 3x = 10 + 11 Combine like terms: 10 + 11 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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