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Simplifying 5x + -1(x + -2) = 2x + -1(0) Reorder the terms: 5x + -1(-2 + x) = 2x + -1(0) 5x + (-2 * -1 + x * -1) = 2x + -1(0) 5x + (2 + -1x) = 2x + -1(0) Reorder the terms: 2 + 5x + -1x = 2x + -1(0) Combine like terms: 5x + -1x = 4x 2 + 4x = 2x + -1(0) Multiply -1 * 0 2 + 4x = 2x + 0 Anything times zero is zero. 2 + 4x = 2x + 0 Reorder the terms: 2 + 4x = 0 + 2x Remove the zero: 2 + 4x = 2x Solving 2 + 4x = 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. 2 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = 0 Add '-2' to each side of the equation. 2 + -2 + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0 + -2 2x = 0 + -2 Combine like terms: 0 + -2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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