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Simplifying 2(3x + 5) = 5(2x + -4x) Reorder the terms: 2(5 + 3x) = 5(2x + -4x) (5 * 2 + 3x * 2) = 5(2x + -4x) (10 + 6x) = 5(2x + -4x) Combine like terms: 2x + -4x = -2x 10 + 6x = 5(-2x) Remove parenthesis around (-2x) 10 + 6x = 5 * -2x Multiply 5 * -2 10 + 6x = -10x Solving 10 + 6x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + 6x + 10x = -10x + 10x Combine like terms: 6x + 10x = 16x 10 + 16x = -10x + 10x Combine like terms: -10x + 10x = 0 10 + 16x = 0 Add '-10' to each side of the equation. 10 + -10 + 16x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = 0 + -10 16x = 0 + -10 Combine like terms: 0 + -10 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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