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Simplifying 10(x + -1) + -3(x + -2) = 5(x + 2) Reorder the terms: 10(-1 + x) + -3(x + -2) = 5(x + 2) (-1 * 10 + x * 10) + -3(x + -2) = 5(x + 2) (-10 + 10x) + -3(x + -2) = 5(x + 2) Reorder the terms: -10 + 10x + -3(-2 + x) = 5(x + 2) -10 + 10x + (-2 * -3 + x * -3) = 5(x + 2) -10 + 10x + (6 + -3x) = 5(x + 2) Reorder the terms: -10 + 6 + 10x + -3x = 5(x + 2) Combine like terms: -10 + 6 = -4 -4 + 10x + -3x = 5(x + 2) Combine like terms: 10x + -3x = 7x -4 + 7x = 5(x + 2) Reorder the terms: -4 + 7x = 5(2 + x) -4 + 7x = (2 * 5 + x * 5) -4 + 7x = (10 + 5x) Solving -4 + 7x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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