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Simplifying 5(6x + 2) = 3(10x + -2) + -2x Reorder the terms: 5(2 + 6x) = 3(10x + -2) + -2x (2 * 5 + 6x * 5) = 3(10x + -2) + -2x (10 + 30x) = 3(10x + -2) + -2x Reorder the terms: 10 + 30x = 3(-2 + 10x) + -2x 10 + 30x = (-2 * 3 + 10x * 3) + -2x 10 + 30x = (-6 + 30x) + -2x Combine like terms: 30x + -2x = 28x 10 + 30x = -6 + 28x Solving 10 + 30x = -6 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 10 + 30x + -28x = -6 + 28x + -28x Combine like terms: 30x + -28x = 2x 10 + 2x = -6 + 28x + -28x Combine like terms: 28x + -28x = 0 10 + 2x = -6 + 0 10 + 2x = -6 Add '-10' to each side of the equation. 10 + -10 + 2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -6 + -10 2x = -6 + -10 Combine like terms: -6 + -10 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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