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Simplifying 3(x + -2) + -2(x + 2) = 4(x + 5) Reorder the terms: 3(-2 + x) + -2(x + 2) = 4(x + 5) (-2 * 3 + x * 3) + -2(x + 2) = 4(x + 5) (-6 + 3x) + -2(x + 2) = 4(x + 5) Reorder the terms: -6 + 3x + -2(2 + x) = 4(x + 5) -6 + 3x + (2 * -2 + x * -2) = 4(x + 5) -6 + 3x + (-4 + -2x) = 4(x + 5) Reorder the terms: -6 + -4 + 3x + -2x = 4(x + 5) Combine like terms: -6 + -4 = -10 -10 + 3x + -2x = 4(x + 5) Combine like terms: 3x + -2x = 1x -10 + 1x = 4(x + 5) Reorder the terms: -10 + 1x = 4(5 + x) -10 + 1x = (5 * 4 + x * 4) -10 + 1x = (20 + 4x) Solving -10 + 1x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 1x + -4x = 20 + 4x + -4x Combine like terms: 1x + -4x = -3x -10 + -3x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -3x = 20 + 0 -10 + -3x = 20 Add '10' to each side of the equation. -10 + 10 + -3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 20 + 10 -3x = 20 + 10 Combine like terms: 20 + 10 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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