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Simplifying 3 + -1(2x + 3(x + 2) + 4) + 6x + 7 = 2x + -2(x + -4) Reorder the terms: 3 + -1(2x + 3(2 + x) + 4) + 6x + 7 = 2x + -2(x + -4) 3 + -1(2x + (2 * 3 + x * 3) + 4) + 6x + 7 = 2x + -2(x + -4) 3 + -1(2x + (6 + 3x) + 4) + 6x + 7 = 2x + -2(x + -4) Reorder the terms: 3 + -1(6 + 4 + 2x + 3x) + 6x + 7 = 2x + -2(x + -4) Combine like terms: 6 + 4 = 10 3 + -1(10 + 2x + 3x) + 6x + 7 = 2x + -2(x + -4) Combine like terms: 2x + 3x = 5x 3 + -1(10 + 5x) + 6x + 7 = 2x + -2(x + -4) 3 + (10 * -1 + 5x * -1) + 6x + 7 = 2x + -2(x + -4) 3 + (-10 + -5x) + 6x + 7 = 2x + -2(x + -4) Reorder the terms: 3 + -10 + 7 + -5x + 6x = 2x + -2(x + -4) Combine like terms: 3 + -10 = -7 -7 + 7 + -5x + 6x = 2x + -2(x + -4) Combine like terms: -7 + 7 = 0 0 + -5x + 6x = 2x + -2(x + -4) -5x + 6x = 2x + -2(x + -4) Combine like terms: -5x + 6x = 1x 1x = 2x + -2(x + -4) Reorder the terms: 1x = 2x + -2(-4 + x) 1x = 2x + (-4 * -2 + x * -2) 1x = 2x + (8 + -2x) Reorder the terms: 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = 8 + 0 1x = 8 Solving 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 8 Simplifying x = 8
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