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Simplifying 5(8x + 1) + 13x = 6(9x + -4) Reorder the terms: 5(1 + 8x) + 13x = 6(9x + -4) (1 * 5 + 8x * 5) + 13x = 6(9x + -4) (5 + 40x) + 13x = 6(9x + -4) Combine like terms: 40x + 13x = 53x 5 + 53x = 6(9x + -4) Reorder the terms: 5 + 53x = 6(-4 + 9x) 5 + 53x = (-4 * 6 + 9x * 6) 5 + 53x = (-24 + 54x) Solving 5 + 53x = -24 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 5 + 53x + -54x = -24 + 54x + -54x Combine like terms: 53x + -54x = -1x 5 + -1x = -24 + 54x + -54x Combine like terms: 54x + -54x = 0 5 + -1x = -24 + 0 5 + -1x = -24 Add '-5' to each side of the equation. 5 + -5 + -1x = -24 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -24 + -5 -1x = -24 + -5 Combine like terms: -24 + -5 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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