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Simplifying 8x + 5(12 + -1x) = 7(x + 4) 8x + (12 * 5 + -1x * 5) = 7(x + 4) 8x + (60 + -5x) = 7(x + 4) Reorder the terms: 60 + 8x + -5x = 7(x + 4) Combine like terms: 8x + -5x = 3x 60 + 3x = 7(x + 4) Reorder the terms: 60 + 3x = 7(4 + x) 60 + 3x = (4 * 7 + x * 7) 60 + 3x = (28 + 7x) Solving 60 + 3x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 60 + 3x + -7x = 28 + 7x + -7x Combine like terms: 3x + -7x = -4x 60 + -4x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 60 + -4x = 28 + 0 60 + -4x = 28 Add '-60' to each side of the equation. 60 + -60 + -4x = 28 + -60 Combine like terms: 60 + -60 = 0 0 + -4x = 28 + -60 -4x = 28 + -60 Combine like terms: 28 + -60 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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