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Simplifying 4(2 + 2x) = 7(x + -2) (2 * 4 + 2x * 4) = 7(x + -2) (8 + 8x) = 7(x + -2) Reorder the terms: 8 + 8x = 7(-2 + x) 8 + 8x = (-2 * 7 + x * 7) 8 + 8x = (-14 + 7x) Solving 8 + 8x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 8x + -7x = -14 + 7x + -7x Combine like terms: 8x + -7x = 1x 8 + 1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 1x = -14 + 0 8 + 1x = -14 Add '-8' to each side of the equation. 8 + -8 + 1x = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -14 + -8 1x = -14 + -8 Combine like terms: -14 + -8 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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