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Simplifying 4(2x + 2) + -1(2x + 5) = -3 Reorder the terms: 4(2 + 2x) + -1(2x + 5) = -3 (2 * 4 + 2x * 4) + -1(2x + 5) = -3 (8 + 8x) + -1(2x + 5) = -3 Reorder the terms: 8 + 8x + -1(5 + 2x) = -3 8 + 8x + (5 * -1 + 2x * -1) = -3 8 + 8x + (-5 + -2x) = -3 Reorder the terms: 8 + -5 + 8x + -2x = -3 Combine like terms: 8 + -5 = 3 3 + 8x + -2x = -3 Combine like terms: 8x + -2x = 6x 3 + 6x = -3 Solving 3 + 6x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -3 + -3 6x = -3 + -3 Combine like terms: -3 + -3 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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