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Simplifying (x + 7) + -2x = 5x + -1(3x + -4) Reorder the terms: (7 + x) + -2x = 5x + -1(3x + -4) Remove parenthesis around (7 + x) 7 + x + -2x = 5x + -1(3x + -4) Combine like terms: x + -2x = -1x 7 + -1x = 5x + -1(3x + -4) Reorder the terms: 7 + -1x = 5x + -1(-4 + 3x) 7 + -1x = 5x + (-4 * -1 + 3x * -1) 7 + -1x = 5x + (4 + -3x) Reorder the terms: 7 + -1x = 4 + 5x + -3x Combine like terms: 5x + -3x = 2x 7 + -1x = 4 + 2x Solving 7 + -1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -1x + -2x = 4 + 2x + -2x Combine like terms: -1x + -2x = -3x 7 + -3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3x = 4 + 0 7 + -3x = 4 Add '-7' to each side of the equation. 7 + -7 + -3x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 4 + -7 -3x = 4 + -7 Combine like terms: 4 + -7 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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