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Simplifying 60 + -7(x + -4) + 8(x + -7) = 5(x + 8) + -9 Reorder the terms: 60 + -7(-4 + x) + 8(x + -7) = 5(x + 8) + -9 60 + (-4 * -7 + x * -7) + 8(x + -7) = 5(x + 8) + -9 60 + (28 + -7x) + 8(x + -7) = 5(x + 8) + -9 Reorder the terms: 60 + 28 + -7x + 8(-7 + x) = 5(x + 8) + -9 60 + 28 + -7x + (-7 * 8 + x * 8) = 5(x + 8) + -9 60 + 28 + -7x + (-56 + 8x) = 5(x + 8) + -9 Reorder the terms: 60 + 28 + -56 + -7x + 8x = 5(x + 8) + -9 Combine like terms: 60 + 28 = 88 88 + -56 + -7x + 8x = 5(x + 8) + -9 Combine like terms: 88 + -56 = 32 32 + -7x + 8x = 5(x + 8) + -9 Combine like terms: -7x + 8x = 1x 32 + 1x = 5(x + 8) + -9 Reorder the terms: 32 + 1x = 5(8 + x) + -9 32 + 1x = (8 * 5 + x * 5) + -9 32 + 1x = (40 + 5x) + -9 Reorder the terms: 32 + 1x = 40 + -9 + 5x Combine like terms: 40 + -9 = 31 32 + 1x = 31 + 5x Solving 32 + 1x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 1x + -5x = 31 + 5x + -5x Combine like terms: 1x + -5x = -4x 32 + -4x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -4x = 31 + 0 32 + -4x = 31 Add '-32' to each side of the equation. 32 + -32 + -4x = 31 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 31 + -32 -4x = 31 + -32 Combine like terms: 31 + -32 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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