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Simplifying 3x + -7 + 2(3 + -1x) = -1x + 8 3x + -7 + (3 * 2 + -1x * 2) = -1x + 8 3x + -7 + (6 + -2x) = -1x + 8 Reorder the terms: -7 + 6 + 3x + -2x = -1x + 8 Combine like terms: -7 + 6 = -1 -1 + 3x + -2x = -1x + 8 Combine like terms: 3x + -2x = 1x -1 + 1x = -1x + 8 Reorder the terms: -1 + 1x = 8 + -1x Solving -1 + 1x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 1x + x = 8 + -1x + x Combine like terms: 1x + x = 2x -1 + 2x = 8 + -1x + x Combine like terms: -1x + x = 0 -1 + 2x = 8 + 0 -1 + 2x = 8 Add '1' to each side of the equation. -1 + 1 + 2x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 8 + 1 2x = 8 + 1 Combine like terms: 8 + 1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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