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Simplifying -5(x + 4) + -7 = -8(x + -4) Reorder the terms: -5(4 + x) + -7 = -8(x + -4) (4 * -5 + x * -5) + -7 = -8(x + -4) (-20 + -5x) + -7 = -8(x + -4) Reorder the terms: -20 + -7 + -5x = -8(x + -4) Combine like terms: -20 + -7 = -27 -27 + -5x = -8(x + -4) Reorder the terms: -27 + -5x = -8(-4 + x) -27 + -5x = (-4 * -8 + x * -8) -27 + -5x = (32 + -8x) Solving -27 + -5x = 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. -27 + -5x + 8x = 32 + -8x + 8x Combine like terms: -5x + 8x = 3x -27 + 3x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 3x = 32 + 0 -27 + 3x = 32 Add '27' to each side of the equation. -27 + 27 + 3x = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 32 + 27 3x = 32 + 27 Combine like terms: 32 + 27 = 59 3x = 59 Divide each side by '3'. x = 19.66666667 Simplifying x = 19.66666667
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