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Simplifying -1(x + -1) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -1(-1 + x) + 8(x + -3) = 6x + 7 + -5x (-1 * -1 + x * -1) + 8(x + -3) = 6x + 7 + -5x (1 + -1x) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 1 + -1x + 8(-3 + x) = 6x + 7 + -5x 1 + -1x + (-3 * 8 + x * 8) = 6x + 7 + -5x 1 + -1x + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: 1 + -24 + -1x + 8x = 6x + 7 + -5x Combine like terms: 1 + -24 = -23 -23 + -1x + 8x = 6x + 7 + -5x Combine like terms: -1x + 8x = 7x -23 + 7x = 6x + 7 + -5x Reorder the terms: -23 + 7x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -23 + 7x = 7 + 1x Solving -23 + 7x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -23 + 7x + -1x = 7 + 1x + -1x Combine like terms: 7x + -1x = 6x -23 + 6x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -23 + 6x = 7 + 0 -23 + 6x = 7 Add '23' to each side of the equation. -23 + 23 + 6x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 7 + 23 6x = 7 + 23 Combine like terms: 7 + 23 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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