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Simplifying -2(x + -2) + -3 = 3x + -8x + 7 Reorder the terms: -2(-2 + x) + -3 = 3x + -8x + 7 (-2 * -2 + x * -2) + -3 = 3x + -8x + 7 (4 + -2x) + -3 = 3x + -8x + 7 Reorder the terms: 4 + -3 + -2x = 3x + -8x + 7 Combine like terms: 4 + -3 = 1 1 + -2x = 3x + -8x + 7 Reorder the terms: 1 + -2x = 7 + 3x + -8x Combine like terms: 3x + -8x = -5x 1 + -2x = 7 + -5x Solving 1 + -2x = 7 + -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. 1 + -2x + 5x = 7 + -5x + 5x Combine like terms: -2x + 5x = 3x 1 + 3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 3x = 7 + 0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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