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Simplifying 3(x + -5) = 2 + (6x + 1) + -1(3x + -7) + 4 + -3x Reorder the terms: 3(-5 + x) = 2 + (6x + 1) + -1(3x + -7) + 4 + -3x (-5 * 3 + x * 3) = 2 + (6x + 1) + -1(3x + -7) + 4 + -3x (-15 + 3x) = 2 + (6x + 1) + -1(3x + -7) + 4 + -3x Reorder the terms: -15 + 3x = 2 + (1 + 6x) + -1(3x + -7) + 4 + -3x Remove parenthesis around (1 + 6x) -15 + 3x = 2 + 1 + 6x + -1(3x + -7) + 4 + -3x Reorder the terms: -15 + 3x = 2 + 1 + 6x + -1(-7 + 3x) + 4 + -3x -15 + 3x = 2 + 1 + 6x + (-7 * -1 + 3x * -1) + 4 + -3x -15 + 3x = 2 + 1 + 6x + (7 + -3x) + 4 + -3x Reorder the terms: -15 + 3x = 2 + 1 + 7 + 4 + 6x + -3x + -3x Combine like terms: 2 + 1 = 3 -15 + 3x = 3 + 7 + 4 + 6x + -3x + -3x Combine like terms: 3 + 7 = 10 -15 + 3x = 10 + 4 + 6x + -3x + -3x Combine like terms: 10 + 4 = 14 -15 + 3x = 14 + 6x + -3x + -3x Combine like terms: 6x + -3x = 3x -15 + 3x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 3x = 14 + 0 -15 + 3x = 14 Solving -15 + 3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 14 + 15 3x = 14 + 15 Combine like terms: 14 + 15 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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