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Simplifying 5(6x + 7) + 2x = x + 35 Reorder the terms: 5(7 + 6x) + 2x = x + 35 (7 * 5 + 6x * 5) + 2x = x + 35 (35 + 30x) + 2x = x + 35 Combine like terms: 30x + 2x = 32x 35 + 32x = x + 35 Reorder the terms: 35 + 32x = 35 + x Add '-35' to each side of the equation. 35 + -35 + 32x = 35 + -35 + x Combine like terms: 35 + -35 = 0 0 + 32x = 35 + -35 + x 32x = 35 + -35 + x Combine like terms: 35 + -35 = 0 32x = 0 + x 32x = x Solving 32x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32x + -1x = x + -1x Combine like terms: 32x + -1x = 31x 31x = x + -1x Combine like terms: x + -1x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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