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Simplifying -1(-2 + 4x) + 5 = -1(-7 + 3x) + x + 1 (-2 * -1 + 4x * -1) + 5 = -1(-7 + 3x) + x + 1 (2 + -4x) + 5 = -1(-7 + 3x) + x + 1 Reorder the terms: 2 + 5 + -4x = -1(-7 + 3x) + x + 1 Combine like terms: 2 + 5 = 7 7 + -4x = -1(-7 + 3x) + x + 1 7 + -4x = (-7 * -1 + 3x * -1) + x + 1 7 + -4x = (7 + -3x) + x + 1 Reorder the terms: 7 + -4x = 7 + 1 + -3x + x Combine like terms: 7 + 1 = 8 7 + -4x = 8 + -3x + x Combine like terms: -3x + x = -2x 7 + -4x = 8 + -2x Solving 7 + -4x = 8 + -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. 7 + -4x + 2x = 8 + -2x + 2x Combine like terms: -4x + 2x = -2x 7 + -2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -2x = 8 + 0 7 + -2x = 8 Add '-7' to each side of the equation. 7 + -7 + -2x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 8 + -7 -2x = 8 + -7 Combine like terms: 8 + -7 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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