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Simplifying 8x + 13 = 7(-8x + 5) Reorder the terms: 13 + 8x = 7(-8x + 5) Reorder the terms: 13 + 8x = 7(5 + -8x) 13 + 8x = (5 * 7 + -8x * 7) 13 + 8x = (35 + -56x) Solving 13 + 8x = 35 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 13 + 8x + 56x = 35 + -56x + 56x Combine like terms: 8x + 56x = 64x 13 + 64x = 35 + -56x + 56x Combine like terms: -56x + 56x = 0 13 + 64x = 35 + 0 13 + 64x = 35 Add '-13' to each side of the equation. 13 + -13 + 64x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 64x = 35 + -13 64x = 35 + -13 Combine like terms: 35 + -13 = 22 64x = 22 Divide each side by '64'. x = 0.34375 Simplifying x = 0.34375
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