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Simplifying 5 + 2(5x + -4) = 5 + -3(2x + 1) Reorder the terms: 5 + 2(-4 + 5x) = 5 + -3(2x + 1) 5 + (-4 * 2 + 5x * 2) = 5 + -3(2x + 1) 5 + (-8 + 10x) = 5 + -3(2x + 1) Combine like terms: 5 + -8 = -3 -3 + 10x = 5 + -3(2x + 1) Reorder the terms: -3 + 10x = 5 + -3(1 + 2x) -3 + 10x = 5 + (1 * -3 + 2x * -3) -3 + 10x = 5 + (-3 + -6x) Combine like terms: 5 + -3 = 2 -3 + 10x = 2 + -6x Solving -3 + 10x = 2 + -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. -3 + 10x + 6x = 2 + -6x + 6x Combine like terms: 10x + 6x = 16x -3 + 16x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 16x = 2 + 0 -3 + 16x = 2 Add '3' to each side of the equation. -3 + 3 + 16x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 2 + 3 16x = 2 + 3 Combine like terms: 2 + 3 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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