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Simplifying 5(7 + 6x) = -1x + -27 (7 * 5 + 6x * 5) = -1x + -27 (35 + 30x) = -1x + -27 Reorder the terms: 35 + 30x = -27 + -1x Solving 35 + 30x = -27 + -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. 35 + 30x + x = -27 + -1x + x Combine like terms: 30x + x = 31x 35 + 31x = -27 + -1x + x Combine like terms: -1x + x = 0 35 + 31x = -27 + 0 35 + 31x = -27 Add '-35' to each side of the equation. 35 + -35 + 31x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + 31x = -27 + -35 31x = -27 + -35 Combine like terms: -27 + -35 = -62 31x = -62 Divide each side by '31'. x = -2 Simplifying x = -2
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