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Simplifying -1x + 7 + 2x + -5 + -3x = 3(3 + -1x) + -4(1 + -1x) Reorder the terms: 7 + -5 + -1x + 2x + -3x = 3(3 + -1x) + -4(1 + -1x) Combine like terms: 7 + -5 = 2 2 + -1x + 2x + -3x = 3(3 + -1x) + -4(1 + -1x) Combine like terms: -1x + 2x = 1x 2 + 1x + -3x = 3(3 + -1x) + -4(1 + -1x) Combine like terms: 1x + -3x = -2x 2 + -2x = 3(3 + -1x) + -4(1 + -1x) 2 + -2x = (3 * 3 + -1x * 3) + -4(1 + -1x) 2 + -2x = (9 + -3x) + -4(1 + -1x) 2 + -2x = 9 + -3x + (1 * -4 + -1x * -4) 2 + -2x = 9 + -3x + (-4 + 4x) Reorder the terms: 2 + -2x = 9 + -4 + -3x + 4x Combine like terms: 9 + -4 = 5 2 + -2x = 5 + -3x + 4x Combine like terms: -3x + 4x = 1x 2 + -2x = 5 + 1x Solving 2 + -2x = 5 + 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. 2 + -2x + -1x = 5 + 1x + -1x Combine like terms: -2x + -1x = -3x 2 + -3x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -3x = 5 + 0 2 + -3x = 5 Add '-2' to each side of the equation. 2 + -2 + -3x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 5 + -2 -3x = 5 + -2 Combine like terms: 5 + -2 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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