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Simplifying -6 = 3(1 + 6x) + 5(7 + -8x) -6 = (1 * 3 + 6x * 3) + 5(7 + -8x) -6 = (3 + 18x) + 5(7 + -8x) -6 = 3 + 18x + (7 * 5 + -8x * 5) -6 = 3 + 18x + (35 + -40x) Reorder the terms: -6 = 3 + 35 + 18x + -40x Combine like terms: 3 + 35 = 38 -6 = 38 + 18x + -40x Combine like terms: 18x + -40x = -22x -6 = 38 + -22x Solving -6 = 38 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -6 + 22x = 38 + -22x + 22x Combine like terms: -22x + 22x = 0 -6 + 22x = 38 + 0 -6 + 22x = 38 Add '6' to each side of the equation. -6 + 6 + 22x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 38 + 6 22x = 38 + 6 Combine like terms: 38 + 6 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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