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Simplifying 7 + (4 + -3x) + -1(1 + -1x) = 2x + -2(x + -3) Remove parenthesis around (4 + -3x) 7 + 4 + -3x + -1(1 + -1x) = 2x + -2(x + -3) 7 + 4 + -3x + (1 * -1 + -1x * -1) = 2x + -2(x + -3) 7 + 4 + -3x + (-1 + 1x) = 2x + -2(x + -3) Reorder the terms: 7 + 4 + -1 + -3x + 1x = 2x + -2(x + -3) Combine like terms: 7 + 4 = 11 11 + -1 + -3x + 1x = 2x + -2(x + -3) Combine like terms: 11 + -1 = 10 10 + -3x + 1x = 2x + -2(x + -3) Combine like terms: -3x + 1x = -2x 10 + -2x = 2x + -2(x + -3) Reorder the terms: 10 + -2x = 2x + -2(-3 + x) 10 + -2x = 2x + (-3 * -2 + x * -2) 10 + -2x = 2x + (6 + -2x) Reorder the terms: 10 + -2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -2x = 6 + 0 10 + -2x = 6 Solving 10 + -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 6 + -10 -2x = 6 + -10 Combine like terms: 6 + -10 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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