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Simplifying 5(2x + 2) + -4(x + -3) = -2 Reorder the terms: 5(2 + 2x) + -4(x + -3) = -2 (2 * 5 + 2x * 5) + -4(x + -3) = -2 (10 + 10x) + -4(x + -3) = -2 Reorder the terms: 10 + 10x + -4(-3 + x) = -2 10 + 10x + (-3 * -4 + x * -4) = -2 10 + 10x + (12 + -4x) = -2 Reorder the terms: 10 + 12 + 10x + -4x = -2 Combine like terms: 10 + 12 = 22 22 + 10x + -4x = -2 Combine like terms: 10x + -4x = 6x 22 + 6x = -2 Solving 22 + 6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 6x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = -2 + -22 6x = -2 + -22 Combine like terms: -2 + -22 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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