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Simplifying 2(2x + 4) + -2(3x + -2) = 2(x + 7) Reorder the terms: 2(4 + 2x) + -2(3x + -2) = 2(x + 7) (4 * 2 + 2x * 2) + -2(3x + -2) = 2(x + 7) (8 + 4x) + -2(3x + -2) = 2(x + 7) Reorder the terms: 8 + 4x + -2(-2 + 3x) = 2(x + 7) 8 + 4x + (-2 * -2 + 3x * -2) = 2(x + 7) 8 + 4x + (4 + -6x) = 2(x + 7) Reorder the terms: 8 + 4 + 4x + -6x = 2(x + 7) Combine like terms: 8 + 4 = 12 12 + 4x + -6x = 2(x + 7) Combine like terms: 4x + -6x = -2x 12 + -2x = 2(x + 7) Reorder the terms: 12 + -2x = 2(7 + x) 12 + -2x = (7 * 2 + x * 2) 12 + -2x = (14 + 2x) Solving 12 + -2x = 14 + 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. 12 + -2x + -2x = 14 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = 14 + 0 12 + -4x = 14 Add '-12' to each side of the equation. 12 + -12 + -4x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 14 + -12 -4x = 14 + -12 Combine like terms: 14 + -12 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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