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Simplifying 7(x + -3) + -6 = -3(-2x + 4) + -8x Reorder the terms: 7(-3 + x) + -6 = -3(-2x + 4) + -8x (-3 * 7 + x * 7) + -6 = -3(-2x + 4) + -8x (-21 + 7x) + -6 = -3(-2x + 4) + -8x Reorder the terms: -21 + -6 + 7x = -3(-2x + 4) + -8x Combine like terms: -21 + -6 = -27 -27 + 7x = -3(-2x + 4) + -8x Reorder the terms: -27 + 7x = -3(4 + -2x) + -8x -27 + 7x = (4 * -3 + -2x * -3) + -8x -27 + 7x = (-12 + 6x) + -8x Combine like terms: 6x + -8x = -2x -27 + 7x = -12 + -2x Solving -27 + 7x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + 7x + 2x = -12 + -2x + 2x Combine like terms: 7x + 2x = 9x -27 + 9x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 9x = -12 + 0 -27 + 9x = -12 Add '27' to each side of the equation. -27 + 27 + 9x = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = -12 + 27 9x = -12 + 27 Combine like terms: -12 + 27 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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