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