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Simplifying -12 + 15x = 2(23x + 29) + -1x Reorder the terms: -12 + 15x = 2(29 + 23x) + -1x -12 + 15x = (29 * 2 + 23x * 2) + -1x -12 + 15x = (58 + 46x) + -1x Combine like terms: 46x + -1x = 45x -12 + 15x = 58 + 45x Solving -12 + 15x = 58 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -12 + 15x + -45x = 58 + 45x + -45x Combine like terms: 15x + -45x = -30x -12 + -30x = 58 + 45x + -45x Combine like terms: 45x + -45x = 0 -12 + -30x = 58 + 0 -12 + -30x = 58 Add '12' to each side of the equation. -12 + 12 + -30x = 58 + 12 Combine like terms: -12 + 12 = 0 0 + -30x = 58 + 12 -30x = 58 + 12 Combine like terms: 58 + 12 = 70 -30x = 70 Divide each side by '-30'. x = -2.333333333 Simplifying x = -2.333333333
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