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Simplifying 35 = 4(x + 6) + -1(8x + 5) Reorder the terms: 35 = 4(6 + x) + -1(8x + 5) 35 = (6 * 4 + x * 4) + -1(8x + 5) 35 = (24 + 4x) + -1(8x + 5) Reorder the terms: 35 = 24 + 4x + -1(5 + 8x) 35 = 24 + 4x + (5 * -1 + 8x * -1) 35 = 24 + 4x + (-5 + -8x) Reorder the terms: 35 = 24 + -5 + 4x + -8x Combine like terms: 24 + -5 = 19 35 = 19 + 4x + -8x Combine like terms: 4x + -8x = -4x 35 = 19 + -4x Solving 35 = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 35 + 4x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 35 + 4x = 19 + 0 35 + 4x = 19 Add '-35' to each side of the equation. 35 + -35 + 4x = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 19 + -35 4x = 19 + -35 Combine like terms: 19 + -35 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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