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Simplifying 6(-5x + 35) + -1x + 7 = 0 Reorder the terms: 6(35 + -5x) + -1x + 7 = 0 (35 * 6 + -5x * 6) + -1x + 7 = 0 (210 + -30x) + -1x + 7 = 0 Reorder the terms: 210 + 7 + -30x + -1x = 0 Combine like terms: 210 + 7 = 217 217 + -30x + -1x = 0 Combine like terms: -30x + -1x = -31x 217 + -31x = 0 Solving 217 + -31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-217' to each side of the equation. 217 + -217 + -31x = 0 + -217 Combine like terms: 217 + -217 = 0 0 + -31x = 0 + -217 -31x = 0 + -217 Combine like terms: 0 + -217 = -217 -31x = -217 Divide each side by '-31'. x = 7 Simplifying x = 7
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