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Simplifying 3(x + 8) + -3(4x + -7) = 13 Reorder the terms: 3(8 + x) + -3(4x + -7) = 13 (8 * 3 + x * 3) + -3(4x + -7) = 13 (24 + 3x) + -3(4x + -7) = 13 Reorder the terms: 24 + 3x + -3(-7 + 4x) = 13 24 + 3x + (-7 * -3 + 4x * -3) = 13 24 + 3x + (21 + -12x) = 13 Reorder the terms: 24 + 21 + 3x + -12x = 13 Combine like terms: 24 + 21 = 45 45 + 3x + -12x = 13 Combine like terms: 3x + -12x = -9x 45 + -9x = 13 Solving 45 + -9x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -9x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 13 + -45 -9x = 13 + -45 Combine like terms: 13 + -45 = -32 -9x = -32 Divide each side by '-9'. x = 3.555555556 Simplifying x = 3.555555556
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