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Simplifying 2(7x + -10) + -20 = 50 + -1x Reorder the terms: 2(-10 + 7x) + -20 = 50 + -1x (-10 * 2 + 7x * 2) + -20 = 50 + -1x (-20 + 14x) + -20 = 50 + -1x Reorder the terms: -20 + -20 + 14x = 50 + -1x Combine like terms: -20 + -20 = -40 -40 + 14x = 50 + -1x Solving -40 + 14x = 50 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -40 + 14x + x = 50 + -1x + x Combine like terms: 14x + x = 15x -40 + 15x = 50 + -1x + x Combine like terms: -1x + x = 0 -40 + 15x = 50 + 0 -40 + 15x = 50 Add '40' to each side of the equation. -40 + 40 + 15x = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 50 + 40 15x = 50 + 40 Combine like terms: 50 + 40 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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