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Simplifying 2x + -7 + 2(4x + 7) = -2(x + 4) Reorder the terms: 2x + -7 + 2(7 + 4x) = -2(x + 4) 2x + -7 + (7 * 2 + 4x * 2) = -2(x + 4) 2x + -7 + (14 + 8x) = -2(x + 4) Reorder the terms: -7 + 14 + 2x + 8x = -2(x + 4) Combine like terms: -7 + 14 = 7 7 + 2x + 8x = -2(x + 4) Combine like terms: 2x + 8x = 10x 7 + 10x = -2(x + 4) Reorder the terms: 7 + 10x = -2(4 + x) 7 + 10x = (4 * -2 + x * -2) 7 + 10x = (-8 + -2x) Solving 7 + 10x = -8 + -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 = -8 + -2x + 2x Combine like terms: 10x + 2x = 12x 7 + 12x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 12x = -8 + 0 7 + 12x = -8 Add '-7' to each side of the equation. 7 + -7 + 12x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -8 + -7 12x = -8 + -7 Combine like terms: -8 + -7 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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