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Simplifying (1 + -1x) = 3(1 + 2x) + 5 Remove parenthesis around (1 + -1x) 1 + -1x = 3(1 + 2x) + 5 1 + -1x = (1 * 3 + 2x * 3) + 5 1 + -1x = (3 + 6x) + 5 Reorder the terms: 1 + -1x = 3 + 5 + 6x Combine like terms: 3 + 5 = 8 1 + -1x = 8 + 6x Solving 1 + -1x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + -1x + -6x = 8 + 6x + -6x Combine like terms: -1x + -6x = -7x 1 + -7x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -7x = 8 + 0 1 + -7x = 8 Add '-1' to each side of the equation. 1 + -1 + -7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 8 + -1 -7x = 8 + -1 Combine like terms: 8 + -1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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