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Simplifying 6x + -1 + 2(2x + 4) = -2(x + 1) Reorder the terms: 6x + -1 + 2(4 + 2x) = -2(x + 1) 6x + -1 + (4 * 2 + 2x * 2) = -2(x + 1) 6x + -1 + (8 + 4x) = -2(x + 1) Reorder the terms: -1 + 8 + 6x + 4x = -2(x + 1) Combine like terms: -1 + 8 = 7 7 + 6x + 4x = -2(x + 1) Combine like terms: 6x + 4x = 10x 7 + 10x = -2(x + 1) Reorder the terms: 7 + 10x = -2(1 + x) 7 + 10x = (1 * -2 + x * -2) 7 + 10x = (-2 + -2x) Solving 7 + 10x = -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. 7 + 10x + 2x = -2 + -2x + 2x Combine like terms: 10x + 2x = 12x 7 + 12x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 12x = -2 + 0 7 + 12x = -2 Add '-7' to each side of the equation. 7 + -7 + 12x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -2 + -7 12x = -2 + -7 Combine like terms: -2 + -7 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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