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Simplifying 2(10x + -7) + -2(1 + 10x) = 3x Reorder the terms: 2(-7 + 10x) + -2(1 + 10x) = 3x (-7 * 2 + 10x * 2) + -2(1 + 10x) = 3x (-14 + 20x) + -2(1 + 10x) = 3x -14 + 20x + (1 * -2 + 10x * -2) = 3x -14 + 20x + (-2 + -20x) = 3x Reorder the terms: -14 + -2 + 20x + -20x = 3x Combine like terms: -14 + -2 = -16 -16 + 20x + -20x = 3x Combine like terms: 20x + -20x = 0 -16 + 0 = 3x -16 = 3x Solving -16 = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -3x = 0 Add '16' to each side of the equation. -16 + 16 + -3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 0 + 16 -3x = 0 + 16 Combine like terms: 0 + 16 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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