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Simplifying 6(x + -4) + 7 = 5(x + 3) + -1 Reorder the terms: 6(-4 + x) + 7 = 5(x + 3) + -1 (-4 * 6 + x * 6) + 7 = 5(x + 3) + -1 (-24 + 6x) + 7 = 5(x + 3) + -1 Reorder the terms: -24 + 7 + 6x = 5(x + 3) + -1 Combine like terms: -24 + 7 = -17 -17 + 6x = 5(x + 3) + -1 Reorder the terms: -17 + 6x = 5(3 + x) + -1 -17 + 6x = (3 * 5 + x * 5) + -1 -17 + 6x = (15 + 5x) + -1 Reorder the terms: -17 + 6x = 15 + -1 + 5x Combine like terms: 15 + -1 = 14 -17 + 6x = 14 + 5x Solving -17 + 6x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -17 + 6x + -5x = 14 + 5x + -5x Combine like terms: 6x + -5x = 1x -17 + 1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 1x = 14 + 0 -17 + 1x = 14 Add '17' to each side of the equation. -17 + 17 + 1x = 14 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 14 + 17 1x = 14 + 17 Combine like terms: 14 + 17 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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