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Simplifying 13 = 6(-8x + 3) + -5(7x + 1) Reorder the terms: 13 = 6(3 + -8x) + -5(7x + 1) 13 = (3 * 6 + -8x * 6) + -5(7x + 1) 13 = (18 + -48x) + -5(7x + 1) Reorder the terms: 13 = 18 + -48x + -5(1 + 7x) 13 = 18 + -48x + (1 * -5 + 7x * -5) 13 = 18 + -48x + (-5 + -35x) Reorder the terms: 13 = 18 + -5 + -48x + -35x Combine like terms: 18 + -5 = 13 13 = 13 + -48x + -35x Combine like terms: -48x + -35x = -83x 13 = 13 + -83x Add '-13' to each side of the equation. 13 + -13 = 13 + -13 + -83x Combine like terms: 13 + -13 = 0 0 = 13 + -13 + -83x Combine like terms: 13 + -13 = 0 0 = 0 + -83x 0 = -83x Solving 0 = -83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83x' to each side of the equation. 0 + 83x = -83x + 83x Remove the zero: 83x = -83x + 83x Combine like terms: -83x + 83x = 0 83x = 0 Divide each side by '83'. x = 0 Simplifying x = 0
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