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Simplifying 90 + -1(5x + 6) = 5(x + 8) + x Reorder the terms: 90 + -1(6 + 5x) = 5(x + 8) + x 90 + (6 * -1 + 5x * -1) = 5(x + 8) + x 90 + (-6 + -5x) = 5(x + 8) + x Combine like terms: 90 + -6 = 84 84 + -5x = 5(x + 8) + x Reorder the terms: 84 + -5x = 5(8 + x) + x 84 + -5x = (8 * 5 + x * 5) + x 84 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 84 + -5x = 40 + 6x Solving 84 + -5x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 84 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 84 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 84 + -11x = 40 + 0 84 + -11x = 40 Add '-84' to each side of the equation. 84 + -84 + -11x = 40 + -84 Combine like terms: 84 + -84 = 0 0 + -11x = 40 + -84 -11x = 40 + -84 Combine like terms: 40 + -84 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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