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Simplifying 3(x + 8) + -4(7x + -7) = 13 Reorder the terms: 3(8 + x) + -4(7x + -7) = 13 (8 * 3 + x * 3) + -4(7x + -7) = 13 (24 + 3x) + -4(7x + -7) = 13 Reorder the terms: 24 + 3x + -4(-7 + 7x) = 13 24 + 3x + (-7 * -4 + 7x * -4) = 13 24 + 3x + (28 + -28x) = 13 Reorder the terms: 24 + 28 + 3x + -28x = 13 Combine like terms: 24 + 28 = 52 52 + 3x + -28x = 13 Combine like terms: 3x + -28x = -25x 52 + -25x = 13 Solving 52 + -25x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -25x = 13 + -52 Combine like terms: 52 + -52 = 0 0 + -25x = 13 + -52 -25x = 13 + -52 Combine like terms: 13 + -52 = -39 -25x = -39 Divide each side by '-25'. x = 1.56 Simplifying x = 1.56
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