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Simplifying 6x + -4(x + 3) = 7(2 + -1x) + -8 Reorder the terms: 6x + -4(3 + x) = 7(2 + -1x) + -8 6x + (3 * -4 + x * -4) = 7(2 + -1x) + -8 6x + (-12 + -4x) = 7(2 + -1x) + -8 Reorder the terms: -12 + 6x + -4x = 7(2 + -1x) + -8 Combine like terms: 6x + -4x = 2x -12 + 2x = 7(2 + -1x) + -8 -12 + 2x = (2 * 7 + -1x * 7) + -8 -12 + 2x = (14 + -7x) + -8 Reorder the terms: -12 + 2x = 14 + -8 + -7x Combine like terms: 14 + -8 = 6 -12 + 2x = 6 + -7x Solving -12 + 2x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 2x + 7x = 6 + -7x + 7x Combine like terms: 2x + 7x = 9x -12 + 9x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 9x = 6 + 0 -12 + 9x = 6 Add '12' to each side of the equation. -12 + 12 + 9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 6 + 12 9x = 6 + 12 Combine like terms: 6 + 12 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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