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Simplifying 5x + -7(2x + -6) = 50 + -10x Reorder the terms: 5x + -7(-6 + 2x) = 50 + -10x 5x + (-6 * -7 + 2x * -7) = 50 + -10x 5x + (42 + -14x) = 50 + -10x Reorder the terms: 42 + 5x + -14x = 50 + -10x Combine like terms: 5x + -14x = -9x 42 + -9x = 50 + -10x Solving 42 + -9x = 50 + -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. 42 + -9x + 10x = 50 + -10x + 10x Combine like terms: -9x + 10x = 1x 42 + 1x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 42 + 1x = 50 + 0 42 + 1x = 50 Add '-42' to each side of the equation. 42 + -42 + 1x = 50 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 50 + -42 1x = 50 + -42 Combine like terms: 50 + -42 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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