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Simplifying 6(5x + 1) + -2(x + -2) = 5x + 10 Reorder the terms: 6(1 + 5x) + -2(x + -2) = 5x + 10 (1 * 6 + 5x * 6) + -2(x + -2) = 5x + 10 (6 + 30x) + -2(x + -2) = 5x + 10 Reorder the terms: 6 + 30x + -2(-2 + x) = 5x + 10 6 + 30x + (-2 * -2 + x * -2) = 5x + 10 6 + 30x + (4 + -2x) = 5x + 10 Reorder the terms: 6 + 4 + 30x + -2x = 5x + 10 Combine like terms: 6 + 4 = 10 10 + 30x + -2x = 5x + 10 Combine like terms: 30x + -2x = 28x 10 + 28x = 5x + 10 Reorder the terms: 10 + 28x = 10 + 5x Add '-10' to each side of the equation. 10 + -10 + 28x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 0 + 28x = 10 + -10 + 5x 28x = 10 + -10 + 5x Combine like terms: 10 + -10 = 0 28x = 0 + 5x 28x = 5x Solving 28x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28x + -5x = 5x + -5x Combine like terms: 28x + -5x = 23x 23x = 5x + -5x Combine like terms: 5x + -5x = 0 23x = 0 Divide each side by '23'. x = 0 Simplifying x = 0
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