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Simplifying 7 + -1(2x + -1) = 3(2x + -1) + 2 Reorder the terms: 7 + -1(-1 + 2x) = 3(2x + -1) + 2 7 + (-1 * -1 + 2x * -1) = 3(2x + -1) + 2 7 + (1 + -2x) = 3(2x + -1) + 2 Combine like terms: 7 + 1 = 8 8 + -2x = 3(2x + -1) + 2 Reorder the terms: 8 + -2x = 3(-1 + 2x) + 2 8 + -2x = (-1 * 3 + 2x * 3) + 2 8 + -2x = (-3 + 6x) + 2 Reorder the terms: 8 + -2x = -3 + 2 + 6x Combine like terms: -3 + 2 = -1 8 + -2x = -1 + 6x Solving 8 + -2x = -1 + 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. 8 + -2x + -6x = -1 + 6x + -6x Combine like terms: -2x + -6x = -8x 8 + -8x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -8x = -1 + 0 8 + -8x = -1 Add '-8' to each side of the equation. 8 + -8 + -8x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -1 + -8 -8x = -1 + -8 Combine like terms: -1 + -8 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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