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Simplifying 7(x + 4) = 4(x + -1(4 + -1x)) Reorder the terms: 7(4 + x) = 4(x + -1(4 + -1x)) (4 * 7 + x * 7) = 4(x + -1(4 + -1x)) (28 + 7x) = 4(x + -1(4 + -1x)) 28 + 7x = 4(x + (4 * -1 + -1x * -1)) 28 + 7x = 4(x + (-4 + 1x)) Reorder the terms: 28 + 7x = 4(-4 + x + 1x) Combine like terms: x + 1x = 2x 28 + 7x = 4(-4 + 2x) 28 + 7x = (-4 * 4 + 2x * 4) 28 + 7x = (-16 + 8x) Solving 28 + 7x = -16 + 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 + 7x + -8x = -16 + 8x + -8x Combine like terms: 7x + -8x = -1x 28 + -1x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -1x = -16 + 0 28 + -1x = -16 Add '-28' to each side of the equation. 28 + -28 + -1x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = -16 + -28 -1x = -16 + -28 Combine like terms: -16 + -28 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44
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