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Simplifying -2(x + -1) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: -2(-1 + x) + 8(x + -3) = 6x + 7 + -5x (-1 * -2 + x * -2) + 8(x + -3) = 6x + 7 + -5x (2 + -2x) + 8(x + -3) = 6x + 7 + -5x Reorder the terms: 2 + -2x + 8(-3 + x) = 6x + 7 + -5x 2 + -2x + (-3 * 8 + x * 8) = 6x + 7 + -5x 2 + -2x + (-24 + 8x) = 6x + 7 + -5x Reorder the terms: 2 + -24 + -2x + 8x = 6x + 7 + -5x Combine like terms: 2 + -24 = -22 -22 + -2x + 8x = 6x + 7 + -5x Combine like terms: -2x + 8x = 6x -22 + 6x = 6x + 7 + -5x Reorder the terms: -22 + 6x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x -22 + 6x = 7 + 1x Solving -22 + 6x = 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. -22 + 6x + -1x = 7 + 1x + -1x Combine like terms: 6x + -1x = 5x -22 + 5x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -22 + 5x = 7 + 0 -22 + 5x = 7 Add '22' to each side of the equation. -22 + 22 + 5x = 7 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 7 + 22 5x = 7 + 22 Combine like terms: 7 + 22 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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