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Simplifying 4(2x + 2) + 2(-3x + -3) = 16 Reorder the terms: 4(2 + 2x) + 2(-3x + -3) = 16 (2 * 4 + 2x * 4) + 2(-3x + -3) = 16 (8 + 8x) + 2(-3x + -3) = 16 Reorder the terms: 8 + 8x + 2(-3 + -3x) = 16 8 + 8x + (-3 * 2 + -3x * 2) = 16 8 + 8x + (-6 + -6x) = 16 Reorder the terms: 8 + -6 + 8x + -6x = 16 Combine like terms: 8 + -6 = 2 2 + 8x + -6x = 16 Combine like terms: 8x + -6x = 2x 2 + 2x = 16 Solving 2 + 2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 16 + -2 2x = 16 + -2 Combine like terms: 16 + -2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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