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Simplifying 7(x + -4) = 8(x + 4) Reorder the terms: 7(-4 + x) = 8(x + 4) (-4 * 7 + x * 7) = 8(x + 4) (-28 + 7x) = 8(x + 4) Reorder the terms: -28 + 7x = 8(4 + x) -28 + 7x = (4 * 8 + x * 8) -28 + 7x = (32 + 8x) Solving -28 + 7x = 32 + 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 = 32 + 8x + -8x Combine like terms: 7x + -8x = -1x -28 + -1x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + -1x = 32 + 0 -28 + -1x = 32 Add '28' to each side of the equation. -28 + 28 + -1x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = 32 + 28 -1x = 32 + 28 Combine like terms: 32 + 28 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60
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