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Simplifying 2(2x + 2) + -3(x + -4) = 0 Reorder the terms: 2(2 + 2x) + -3(x + -4) = 0 (2 * 2 + 2x * 2) + -3(x + -4) = 0 (4 + 4x) + -3(x + -4) = 0 Reorder the terms: 4 + 4x + -3(-4 + x) = 0 4 + 4x + (-4 * -3 + x * -3) = 0 4 + 4x + (12 + -3x) = 0 Reorder the terms: 4 + 12 + 4x + -3x = 0 Combine like terms: 4 + 12 = 16 16 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 16 + 1x = 0 Solving 16 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 0 + -16 1x = 0 + -16 Combine like terms: 0 + -16 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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