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Simplifying 2(3x + -6) + 3x = -6 + -1(9 + -8) + 3x Reorder the terms: 2(-6 + 3x) + 3x = -6 + -1(9 + -8) + 3x (-6 * 2 + 3x * 2) + 3x = -6 + -1(9 + -8) + 3x (-12 + 6x) + 3x = -6 + -1(9 + -8) + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -6 + -1(9 + -8) + 3x Combine like terms: 9 + -8 = 1 -12 + 9x = -6 + -1(1) + 3x Multiply -1 * 1 -12 + 9x = -6 + -1 + 3x Combine like terms: -6 + -1 = -7 -12 + 9x = -7 + 3x Solving -12 + 9x = -7 + 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. -12 + 9x + -3x = -7 + 3x + -3x Combine like terms: 9x + -3x = 6x -12 + 6x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 6x = -7 + 0 -12 + 6x = -7 Add '12' to each side of the equation. -12 + 12 + 6x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -7 + 12 6x = -7 + 12 Combine like terms: -7 + 12 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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