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Simplifying 4(x + 8) = 1(x + -4) Reorder the terms: 4(8 + x) = 1(x + -4) (8 * 4 + x * 4) = 1(x + -4) (32 + 4x) = 1(x + -4) Reorder the terms: 32 + 4x = 1(-4 + x) 32 + 4x = (-4 * 1 + x * 1) 32 + 4x = (-4 + 1x) Solving 32 + 4x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + 4x + -1x = -4 + 1x + -1x Combine like terms: 4x + -1x = 3x 32 + 3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 32 + 3x = -4 + 0 32 + 3x = -4 Add '-32' to each side of the equation. 32 + -32 + 3x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = -4 + -32 3x = -4 + -32 Combine like terms: -4 + -32 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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