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