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Simplifying 2(2x + 5) = 3 + -4(x + -1) Reorder the terms: 2(5 + 2x) = 3 + -4(x + -1) (5 * 2 + 2x * 2) = 3 + -4(x + -1) (10 + 4x) = 3 + -4(x + -1) Reorder the terms: 10 + 4x = 3 + -4(-1 + x) 10 + 4x = 3 + (-1 * -4 + x * -4) 10 + 4x = 3 + (4 + -4x) Combine like terms: 3 + 4 = 7 10 + 4x = 7 + -4x Solving 10 + 4x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 4x + 4x = 7 + -4x + 4x Combine like terms: 4x + 4x = 8x 10 + 8x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 8x = 7 + 0 10 + 8x = 7 Add '-10' to each side of the equation. 10 + -10 + 8x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 7 + -10 8x = 7 + -10 Combine like terms: 7 + -10 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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