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Simplifying 4(2x + 2) + -5 = -2x + 43 Reorder the terms: 4(2 + 2x) + -5 = -2x + 43 (2 * 4 + 2x * 4) + -5 = -2x + 43 (8 + 8x) + -5 = -2x + 43 Reorder the terms: 8 + -5 + 8x = -2x + 43 Combine like terms: 8 + -5 = 3 3 + 8x = -2x + 43 Reorder the terms: 3 + 8x = 43 + -2x Solving 3 + 8x = 43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 8x + 2x = 43 + -2x + 2x Combine like terms: 8x + 2x = 10x 3 + 10x = 43 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 10x = 43 + 0 3 + 10x = 43 Add '-3' to each side of the equation. 3 + -3 + 10x = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 43 + -3 10x = 43 + -3 Combine like terms: 43 + -3 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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