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Simplifying 8x + 7 + -3x = 12 + -1x + -29 Reorder the terms: 7 + 8x + -3x = 12 + -1x + -29 Combine like terms: 8x + -3x = 5x 7 + 5x = 12 + -1x + -29 Reorder the terms: 7 + 5x = 12 + -29 + -1x Combine like terms: 12 + -29 = -17 7 + 5x = -17 + -1x Solving 7 + 5x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 5x + x = -17 + -1x + x Combine like terms: 5x + x = 6x 7 + 6x = -17 + -1x + x Combine like terms: -1x + x = 0 7 + 6x = -17 + 0 7 + 6x = -17 Add '-7' to each side of the equation. 7 + -7 + 6x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -17 + -7 6x = -17 + -7 Combine like terms: -17 + -7 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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