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Simplifying 4(x + 8) = 4(3x + 12) Reorder the terms: 4(8 + x) = 4(3x + 12) (8 * 4 + x * 4) = 4(3x + 12) (32 + 4x) = 4(3x + 12) Reorder the terms: 32 + 4x = 4(12 + 3x) 32 + 4x = (12 * 4 + 3x * 4) 32 + 4x = (48 + 12x) Solving 32 + 4x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 4x + -12x = 48 + 12x + -12x Combine like terms: 4x + -12x = -8x 32 + -8x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -8x = 48 + 0 32 + -8x = 48 Add '-32' to each side of the equation. 32 + -32 + -8x = 48 + -32 Combine like terms: 32 + -32 = 0 0 + -8x = 48 + -32 -8x = 48 + -32 Combine like terms: 48 + -32 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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