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Simplifying 4(2 + -1x) = 7(2x + -4) (2 * 4 + -1x * 4) = 7(2x + -4) (8 + -4x) = 7(2x + -4) Reorder the terms: 8 + -4x = 7(-4 + 2x) 8 + -4x = (-4 * 7 + 2x * 7) 8 + -4x = (-28 + 14x) Solving 8 + -4x = -28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + -4x + -14x = -28 + 14x + -14x Combine like terms: -4x + -14x = -18x 8 + -18x = -28 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -18x = -28 + 0 8 + -18x = -28 Add '-8' to each side of the equation. 8 + -8 + -18x = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -28 + -8 -18x = -28 + -8 Combine like terms: -28 + -8 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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