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Simplifying 6(5x + -4) = 31(x + -1) Reorder the terms: 6(-4 + 5x) = 31(x + -1) (-4 * 6 + 5x * 6) = 31(x + -1) (-24 + 30x) = 31(x + -1) Reorder the terms: -24 + 30x = 31(-1 + x) -24 + 30x = (-1 * 31 + x * 31) -24 + 30x = (-31 + 31x) Solving -24 + 30x = -31 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -24 + 30x + -31x = -31 + 31x + -31x Combine like terms: 30x + -31x = -1x -24 + -1x = -31 + 31x + -31x Combine like terms: 31x + -31x = 0 -24 + -1x = -31 + 0 -24 + -1x = -31 Add '24' to each side of the equation. -24 + 24 + -1x = -31 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -31 + 24 -1x = -31 + 24 Combine like terms: -31 + 24 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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