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