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