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Simplifying 2(x + -5) = 3(x + 1) + -2(x + 4) Reorder the terms: 2(-5 + x) = 3(x + 1) + -2(x + 4) (-5 * 2 + x * 2) = 3(x + 1) + -2(x + 4) (-10 + 2x) = 3(x + 1) + -2(x + 4) Reorder the terms: -10 + 2x = 3(1 + x) + -2(x + 4) -10 + 2x = (1 * 3 + x * 3) + -2(x + 4) -10 + 2x = (3 + 3x) + -2(x + 4) Reorder the terms: -10 + 2x = 3 + 3x + -2(4 + x) -10 + 2x = 3 + 3x + (4 * -2 + x * -2) -10 + 2x = 3 + 3x + (-8 + -2x) Reorder the terms: -10 + 2x = 3 + -8 + 3x + -2x Combine like terms: 3 + -8 = -5 -10 + 2x = -5 + 3x + -2x Combine like terms: 3x + -2x = 1x -10 + 2x = -5 + 1x Solving -10 + 2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 2x + -1x = -5 + 1x + -1x Combine like terms: 2x + -1x = 1x -10 + 1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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