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Simplifying 7(3x + -5) + -1x = 2(3x + -2) Reorder the terms: 7(-5 + 3x) + -1x = 2(3x + -2) (-5 * 7 + 3x * 7) + -1x = 2(3x + -2) (-35 + 21x) + -1x = 2(3x + -2) Combine like terms: 21x + -1x = 20x -35 + 20x = 2(3x + -2) Reorder the terms: -35 + 20x = 2(-2 + 3x) -35 + 20x = (-2 * 2 + 3x * 2) -35 + 20x = (-4 + 6x) Solving -35 + 20x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 20x + -6x = -4 + 6x + -6x Combine like terms: 20x + -6x = 14x -35 + 14x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 14x = -4 + 0 -35 + 14x = -4 Add '35' to each side of the equation. -35 + 35 + 14x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = -4 + 35 14x = -4 + 35 Combine like terms: -4 + 35 = 31 14x = 31 Divide each side by '14'. x = 2.214285714 Simplifying x = 2.214285714
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