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Simplifying 4(3x + -7) + -1(2x + -6) = 68 Reorder the terms: 4(-7 + 3x) + -1(2x + -6) = 68 (-7 * 4 + 3x * 4) + -1(2x + -6) = 68 (-28 + 12x) + -1(2x + -6) = 68 Reorder the terms: -28 + 12x + -1(-6 + 2x) = 68 -28 + 12x + (-6 * -1 + 2x * -1) = 68 -28 + 12x + (6 + -2x) = 68 Reorder the terms: -28 + 6 + 12x + -2x = 68 Combine like terms: -28 + 6 = -22 -22 + 12x + -2x = 68 Combine like terms: 12x + -2x = 10x -22 + 10x = 68 Solving -22 + 10x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 10x = 68 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = 68 + 22 10x = 68 + 22 Combine like terms: 68 + 22 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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