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