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Simplifying 7x + -2(4x + -1) = 3(2x + 2) Reorder the terms: 7x + -2(-1 + 4x) = 3(2x + 2) 7x + (-1 * -2 + 4x * -2) = 3(2x + 2) 7x + (2 + -8x) = 3(2x + 2) Reorder the terms: 2 + 7x + -8x = 3(2x + 2) Combine like terms: 7x + -8x = -1x 2 + -1x = 3(2x + 2) Reorder the terms: 2 + -1x = 3(2 + 2x) 2 + -1x = (2 * 3 + 2x * 3) 2 + -1x = (6 + 6x) Solving 2 + -1x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = 6 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = 6 + 0 2 + -7x = 6 Add '-2' to each side of the equation. 2 + -2 + -7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 6 + -2 -7x = 6 + -2 Combine like terms: 6 + -2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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