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Simplifying 1 = -1x + 1 + -3(-1x + -2) Reorder the terms: 1 = -1x + 1 + -3(-2 + -1x) 1 = -1x + 1 + (-2 * -3 + -1x * -3) 1 = -1x + 1 + (6 + 3x) Reorder the terms: 1 = 1 + 6 + -1x + 3x Combine like terms: 1 + 6 = 7 1 = 7 + -1x + 3x Combine like terms: -1x + 3x = 2x 1 = 7 + 2x Solving 1 = 7 + 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. 1 + -2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = 7 + 0 1 + -2x = 7 Add '-1' to each side of the equation. 1 + -1 + -2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 7 + -1 -2x = 7 + -1 Combine like terms: 7 + -1 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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