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Simplifying 3x + 4(8 + -1x) = -1(-4 + -3x) 3x + (8 * 4 + -1x * 4) = -1(-4 + -3x) 3x + (32 + -4x) = -1(-4 + -3x) Reorder the terms: 32 + 3x + -4x = -1(-4 + -3x) Combine like terms: 3x + -4x = -1x 32 + -1x = -1(-4 + -3x) 32 + -1x = (-4 * -1 + -3x * -1) 32 + -1x = (4 + 3x) Solving 32 + -1x = 4 + 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 + -1x + -3x = 4 + 3x + -3x Combine like terms: -1x + -3x = -4x 32 + -4x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -4x = 4 + 0 32 + -4x = 4 Add '-32' to each side of the equation. 32 + -32 + -4x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 4 + -32 -4x = 4 + -32 Combine like terms: 4 + -32 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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