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Simplifying 5(3x + -7) + 8 = 3(x + -3) + 8 Reorder the terms: 5(-7 + 3x) + 8 = 3(x + -3) + 8 (-7 * 5 + 3x * 5) + 8 = 3(x + -3) + 8 (-35 + 15x) + 8 = 3(x + -3) + 8 Reorder the terms: -35 + 8 + 15x = 3(x + -3) + 8 Combine like terms: -35 + 8 = -27 -27 + 15x = 3(x + -3) + 8 Reorder the terms: -27 + 15x = 3(-3 + x) + 8 -27 + 15x = (-3 * 3 + x * 3) + 8 -27 + 15x = (-9 + 3x) + 8 Reorder the terms: -27 + 15x = -9 + 8 + 3x Combine like terms: -9 + 8 = -1 -27 + 15x = -1 + 3x Solving -27 + 15x = -1 + 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. -27 + 15x + -3x = -1 + 3x + -3x Combine like terms: 15x + -3x = 12x -27 + 12x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 12x = -1 + 0 -27 + 12x = -1 Add '27' to each side of the equation. -27 + 27 + 12x = -1 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = -1 + 27 12x = -1 + 27 Combine like terms: -1 + 27 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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