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Simplifying 4(x + 8) = 3(6 + -1x) Reorder the terms: 4(8 + x) = 3(6 + -1x) (8 * 4 + x * 4) = 3(6 + -1x) (32 + 4x) = 3(6 + -1x) 32 + 4x = (6 * 3 + -1x * 3) 32 + 4x = (18 + -3x) Solving 32 + 4x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 32 + 4x + 3x = 18 + -3x + 3x Combine like terms: 4x + 3x = 7x 32 + 7x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 7x = 18 + 0 32 + 7x = 18 Add '-32' to each side of the equation. 32 + -32 + 7x = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 18 + -32 7x = 18 + -32 Combine like terms: 18 + -32 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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