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Simplifying (x + -2) + 7x = 5(2x + -6) + -1x Reorder the terms: (-2 + x) + 7x = 5(2x + -6) + -1x Remove parenthesis around (-2 + x) -2 + x + 7x = 5(2x + -6) + -1x Combine like terms: x + 7x = 8x -2 + 8x = 5(2x + -6) + -1x Reorder the terms: -2 + 8x = 5(-6 + 2x) + -1x -2 + 8x = (-6 * 5 + 2x * 5) + -1x -2 + 8x = (-30 + 10x) + -1x Combine like terms: 10x + -1x = 9x -2 + 8x = -30 + 9x Solving -2 + 8x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 8x + -9x = -30 + 9x + -9x Combine like terms: 8x + -9x = -1x -2 + -1x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -1x = -30 + 0 -2 + -1x = -30 Add '2' to each side of the equation. -2 + 2 + -1x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -30 + 2 -1x = -30 + 2 Combine like terms: -30 + 2 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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