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Simplifying 6(10 + -3x) + 7(4x + -3) = 79 (10 * 6 + -3x * 6) + 7(4x + -3) = 79 (60 + -18x) + 7(4x + -3) = 79 Reorder the terms: 60 + -18x + 7(-3 + 4x) = 79 60 + -18x + (-3 * 7 + 4x * 7) = 79 60 + -18x + (-21 + 28x) = 79 Reorder the terms: 60 + -21 + -18x + 28x = 79 Combine like terms: 60 + -21 = 39 39 + -18x + 28x = 79 Combine like terms: -18x + 28x = 10x 39 + 10x = 79 Solving 39 + 10x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 10x = 79 + -39 Combine like terms: 39 + -39 = 0 0 + 10x = 79 + -39 10x = 79 + -39 Combine like terms: 79 + -39 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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