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Simplifying 2(5x + 1) = -3(2x + -3) Reorder the terms: 2(1 + 5x) = -3(2x + -3) (1 * 2 + 5x * 2) = -3(2x + -3) (2 + 10x) = -3(2x + -3) Reorder the terms: 2 + 10x = -3(-3 + 2x) 2 + 10x = (-3 * -3 + 2x * -3) 2 + 10x = (9 + -6x) Solving 2 + 10x = 9 + -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. 2 + 10x + 6x = 9 + -6x + 6x Combine like terms: 10x + 6x = 16x 2 + 16x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 16x = 9 + 0 2 + 16x = 9 Add '-2' to each side of the equation. 2 + -2 + 16x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 9 + -2 16x = 9 + -2 Combine like terms: 9 + -2 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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