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Simplifying 3x + 29 = 10x + -27 Reorder the terms: 29 + 3x = 10x + -27 Reorder the terms: 29 + 3x = -27 + 10x Solving 29 + 3x = -27 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 29 + 3x + -10x = -27 + 10x + -10x Combine like terms: 3x + -10x = -7x 29 + -7x = -27 + 10x + -10x Combine like terms: 10x + -10x = 0 29 + -7x = -27 + 0 29 + -7x = -27 Add '-29' to each side of the equation. 29 + -29 + -7x = -27 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = -27 + -29 -7x = -27 + -29 Combine like terms: -27 + -29 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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