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Simplifying 4(x + 4) = 3(2 + -2x) Reorder the terms: 4(4 + x) = 3(2 + -2x) (4 * 4 + x * 4) = 3(2 + -2x) (16 + 4x) = 3(2 + -2x) 16 + 4x = (2 * 3 + -2x * 3) 16 + 4x = (6 + -6x) Solving 16 + 4x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 16 + 4x + 6x = 6 + -6x + 6x Combine like terms: 4x + 6x = 10x 16 + 10x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 16 + 10x = 6 + 0 16 + 10x = 6 Add '-16' to each side of the equation. 16 + -16 + 10x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 6 + -16 10x = 6 + -16 Combine like terms: 6 + -16 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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