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Simplifying 4x + 2 + -2(-7x + -2) = 2(x + -1) Reorder the terms: 4x + 2 + -2(-2 + -7x) = 2(x + -1) 4x + 2 + (-2 * -2 + -7x * -2) = 2(x + -1) 4x + 2 + (4 + 14x) = 2(x + -1) Reorder the terms: 2 + 4 + 4x + 14x = 2(x + -1) Combine like terms: 2 + 4 = 6 6 + 4x + 14x = 2(x + -1) Combine like terms: 4x + 14x = 18x 6 + 18x = 2(x + -1) Reorder the terms: 6 + 18x = 2(-1 + x) 6 + 18x = (-1 * 2 + x * 2) 6 + 18x = (-2 + 2x) Solving 6 + 18x = -2 + 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. 6 + 18x + -2x = -2 + 2x + -2x Combine like terms: 18x + -2x = 16x 6 + 16x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 16x = -2 + 0 6 + 16x = -2 Add '-6' to each side of the equation. 6 + -6 + 16x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = -2 + -6 16x = -2 + -6 Combine like terms: -2 + -6 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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