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Simplifying 6(x + -1) = -3(x + 2) + 15 Reorder the terms: 6(-1 + x) = -3(x + 2) + 15 (-1 * 6 + x * 6) = -3(x + 2) + 15 (-6 + 6x) = -3(x + 2) + 15 Reorder the terms: -6 + 6x = -3(2 + x) + 15 -6 + 6x = (2 * -3 + x * -3) + 15 -6 + 6x = (-6 + -3x) + 15 Reorder the terms: -6 + 6x = -6 + 15 + -3x Combine like terms: -6 + 15 = 9 -6 + 6x = 9 + -3x Solving -6 + 6x = 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. -6 + 6x + 3x = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x -6 + 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 9x = 9 + 0 -6 + 9x = 9 Add '6' to each side of the equation. -6 + 6 + 9x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 9 + 6 9x = 9 + 6 Combine like terms: 9 + 6 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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