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Simplifying 3(x + -1) + 60 = 8(x + 4) Reorder the terms: 3(-1 + x) + 60 = 8(x + 4) (-1 * 3 + x * 3) + 60 = 8(x + 4) (-3 + 3x) + 60 = 8(x + 4) Reorder the terms: -3 + 60 + 3x = 8(x + 4) Combine like terms: -3 + 60 = 57 57 + 3x = 8(x + 4) Reorder the terms: 57 + 3x = 8(4 + x) 57 + 3x = (4 * 8 + x * 8) 57 + 3x = (32 + 8x) Solving 57 + 3x = 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. 57 + 3x + -8x = 32 + 8x + -8x Combine like terms: 3x + -8x = -5x 57 + -5x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 57 + -5x = 32 + 0 57 + -5x = 32 Add '-57' to each side of the equation. 57 + -57 + -5x = 32 + -57 Combine like terms: 57 + -57 = 0 0 + -5x = 32 + -57 -5x = 32 + -57 Combine like terms: 32 + -57 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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