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Simplifying 4(x + -7) = 8(x + 5) Reorder the terms: 4(-7 + x) = 8(x + 5) (-7 * 4 + x * 4) = 8(x + 5) (-28 + 4x) = 8(x + 5) Reorder the terms: -28 + 4x = 8(5 + x) -28 + 4x = (5 * 8 + x * 8) -28 + 4x = (40 + 8x) Solving -28 + 4x = 40 + 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 + 4x + -8x = 40 + 8x + -8x Combine like terms: 4x + -8x = -4x -28 + -4x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + -4x = 40 + 0 -28 + -4x = 40 Add '28' to each side of the equation. -28 + 28 + -4x = 40 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = 40 + 28 -4x = 40 + 28 Combine like terms: 40 + 28 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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