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Simplifying 6(3x + -2) + -5(2x + -7) = 79 Reorder the terms: 6(-2 + 3x) + -5(2x + -7) = 79 (-2 * 6 + 3x * 6) + -5(2x + -7) = 79 (-12 + 18x) + -5(2x + -7) = 79 Reorder the terms: -12 + 18x + -5(-7 + 2x) = 79 -12 + 18x + (-7 * -5 + 2x * -5) = 79 -12 + 18x + (35 + -10x) = 79 Reorder the terms: -12 + 35 + 18x + -10x = 79 Combine like terms: -12 + 35 = 23 23 + 18x + -10x = 79 Combine like terms: 18x + -10x = 8x 23 + 8x = 79 Solving 23 + 8x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 8x = 79 + -23 Combine like terms: 23 + -23 = 0 0 + 8x = 79 + -23 8x = 79 + -23 Combine like terms: 79 + -23 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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