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Simplifying x + -2(2x + -4) = 7x + -1(3x + 2) Reorder the terms: x + -2(-4 + 2x) = 7x + -1(3x + 2) x + (-4 * -2 + 2x * -2) = 7x + -1(3x + 2) x + (8 + -4x) = 7x + -1(3x + 2) Reorder the terms: 8 + x + -4x = 7x + -1(3x + 2) Combine like terms: x + -4x = -3x 8 + -3x = 7x + -1(3x + 2) Reorder the terms: 8 + -3x = 7x + -1(2 + 3x) 8 + -3x = 7x + (2 * -1 + 3x * -1) 8 + -3x = 7x + (-2 + -3x) Reorder the terms: 8 + -3x = -2 + 7x + -3x Combine like terms: 7x + -3x = 4x 8 + -3x = -2 + 4x Solving 8 + -3x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -3x + -4x = -2 + 4x + -4x Combine like terms: -3x + -4x = -7x 8 + -7x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -7x = -2 + 0 8 + -7x = -2 Add '-8' to each side of the equation. 8 + -8 + -7x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -2 + -8 -7x = -2 + -8 Combine like terms: -2 + -8 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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