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Simplifying 3(x + 8) + -7(8x + -3) = 13 Reorder the terms: 3(8 + x) + -7(8x + -3) = 13 (8 * 3 + x * 3) + -7(8x + -3) = 13 (24 + 3x) + -7(8x + -3) = 13 Reorder the terms: 24 + 3x + -7(-3 + 8x) = 13 24 + 3x + (-3 * -7 + 8x * -7) = 13 24 + 3x + (21 + -56x) = 13 Reorder the terms: 24 + 21 + 3x + -56x = 13 Combine like terms: 24 + 21 = 45 45 + 3x + -56x = 13 Combine like terms: 3x + -56x = -53x 45 + -53x = 13 Solving 45 + -53x = 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 + -53x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -53x = 13 + -45 -53x = 13 + -45 Combine like terms: 13 + -45 = -32 -53x = -32 Divide each side by '-53'. x = 0.6037735849 Simplifying x = 0.6037735849
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