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Simplifying 2x + -2(4 + x) + -3 = x + 3(4 + -1x) + -7 2x + (4 * -2 + x * -2) + -3 = x + 3(4 + -1x) + -7 2x + (-8 + -2x) + -3 = x + 3(4 + -1x) + -7 Reorder the terms: -8 + -3 + 2x + -2x = x + 3(4 + -1x) + -7 Combine like terms: -8 + -3 = -11 -11 + 2x + -2x = x + 3(4 + -1x) + -7 Combine like terms: 2x + -2x = 0 -11 + 0 = x + 3(4 + -1x) + -7 -11 = x + 3(4 + -1x) + -7 -11 = x + (4 * 3 + -1x * 3) + -7 -11 = x + (12 + -3x) + -7 Reorder the terms: -11 = 12 + -7 + x + -3x Combine like terms: 12 + -7 = 5 -11 = 5 + x + -3x Combine like terms: x + -3x = -2x -11 = 5 + -2x Solving -11 = 5 + -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. -11 + 2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 2x = 5 + 0 -11 + 2x = 5 Add '11' to each side of the equation. -11 + 11 + 2x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 5 + 11 2x = 5 + 11 Combine like terms: 5 + 11 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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