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Simplifying 4(7 + -4x) = 4(2x + 2) (7 * 4 + -4x * 4) = 4(2x + 2) (28 + -16x) = 4(2x + 2) Reorder the terms: 28 + -16x = 4(2 + 2x) 28 + -16x = (2 * 4 + 2x * 4) 28 + -16x = (8 + 8x) Solving 28 + -16x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + -16x + -8x = 8 + 8x + -8x Combine like terms: -16x + -8x = -24x 28 + -24x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -24x = 8 + 0 28 + -24x = 8 Add '-28' to each side of the equation. 28 + -28 + -24x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -24x = 8 + -28 -24x = 8 + -28 Combine like terms: 8 + -28 = -20 -24x = -20 Divide each side by '-24'. x = 0.8333333333 Simplifying x = 0.8333333333
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