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Simplifying 5(3x + -7) + x = -3(3 + -1x) Reorder the terms: 5(-7 + 3x) + x = -3(3 + -1x) (-7 * 5 + 3x * 5) + x = -3(3 + -1x) (-35 + 15x) + x = -3(3 + -1x) Combine like terms: 15x + x = 16x -35 + 16x = -3(3 + -1x) -35 + 16x = (3 * -3 + -1x * -3) -35 + 16x = (-9 + 3x) Solving -35 + 16x = -9 + 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. -35 + 16x + -3x = -9 + 3x + -3x Combine like terms: 16x + -3x = 13x -35 + 13x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 13x = -9 + 0 -35 + 13x = -9 Add '35' to each side of the equation. -35 + 35 + 13x = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 13x = -9 + 35 13x = -9 + 35 Combine like terms: -9 + 35 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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