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Simplifying 4 + 5(5 + -2x) = 2 + -1(5 + 2x) 4 + (5 * 5 + -2x * 5) = 2 + -1(5 + 2x) 4 + (25 + -10x) = 2 + -1(5 + 2x) Combine like terms: 4 + 25 = 29 29 + -10x = 2 + -1(5 + 2x) 29 + -10x = 2 + (5 * -1 + 2x * -1) 29 + -10x = 2 + (-5 + -2x) Combine like terms: 2 + -5 = -3 29 + -10x = -3 + -2x Solving 29 + -10x = -3 + -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. 29 + -10x + 2x = -3 + -2x + 2x Combine like terms: -10x + 2x = -8x 29 + -8x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + -8x = -3 + 0 29 + -8x = -3 Add '-29' to each side of the equation. 29 + -29 + -8x = -3 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = -3 + -29 -8x = -3 + -29 Combine like terms: -3 + -29 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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