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Simplifying 2(5x + 4) = 4 + -3(2x + 1) Reorder the terms: 2(4 + 5x) = 4 + -3(2x + 1) (4 * 2 + 5x * 2) = 4 + -3(2x + 1) (8 + 10x) = 4 + -3(2x + 1) Reorder the terms: 8 + 10x = 4 + -3(1 + 2x) 8 + 10x = 4 + (1 * -3 + 2x * -3) 8 + 10x = 4 + (-3 + -6x) Combine like terms: 4 + -3 = 1 8 + 10x = 1 + -6x Solving 8 + 10x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 10x + 6x = 1 + -6x + 6x Combine like terms: 10x + 6x = 16x 8 + 16x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 16x = 1 + 0 8 + 16x = 1 Add '-8' to each side of the equation. 8 + -8 + 16x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 1 + -8 16x = 1 + -8 Combine like terms: 1 + -8 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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