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Simplifying 1 + -4x + 7 = -1(-2x + 6) Reorder the terms: 1 + 7 + -4x = -1(-2x + 6) Combine like terms: 1 + 7 = 8 8 + -4x = -1(-2x + 6) Reorder the terms: 8 + -4x = -1(6 + -2x) 8 + -4x = (6 * -1 + -2x * -1) 8 + -4x = (-6 + 2x) Solving 8 + -4x = -6 + 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. 8 + -4x + -2x = -6 + 2x + -2x Combine like terms: -4x + -2x = -6x 8 + -6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -6x = -6 + 0 8 + -6x = -6 Add '-8' to each side of the equation. 8 + -8 + -6x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -6 + -8 -6x = -6 + -8 Combine like terms: -6 + -8 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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