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Simplifying -1(-6x + 9) + 1 = 5(x + 8) Reorder the terms: -1(9 + -6x) + 1 = 5(x + 8) (9 * -1 + -6x * -1) + 1 = 5(x + 8) (-9 + 6x) + 1 = 5(x + 8) Reorder the terms: -9 + 1 + 6x = 5(x + 8) Combine like terms: -9 + 1 = -8 -8 + 6x = 5(x + 8) Reorder the terms: -8 + 6x = 5(8 + x) -8 + 6x = (8 * 5 + x * 5) -8 + 6x = (40 + 5x) Solving -8 + 6x = 40 + 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. -8 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = 40 + 0 -8 + 1x = 40 Add '8' to each side of the equation. -8 + 8 + 1x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 40 + 8 1x = 40 + 8 Combine like terms: 40 + 8 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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