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Simplifying 84 + -1(5x + 10) = 5(x + 6) + x Reorder the terms: 84 + -1(10 + 5x) = 5(x + 6) + x 84 + (10 * -1 + 5x * -1) = 5(x + 6) + x 84 + (-10 + -5x) = 5(x + 6) + x Combine like terms: 84 + -10 = 74 74 + -5x = 5(x + 6) + x Reorder the terms: 74 + -5x = 5(6 + x) + x 74 + -5x = (6 * 5 + x * 5) + x 74 + -5x = (30 + 5x) + x Combine like terms: 5x + x = 6x 74 + -5x = 30 + 6x Solving 74 + -5x = 30 + 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. 74 + -5x + -6x = 30 + 6x + -6x Combine like terms: -5x + -6x = -11x 74 + -11x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 74 + -11x = 30 + 0 74 + -11x = 30 Add '-74' to each side of the equation. 74 + -74 + -11x = 30 + -74 Combine like terms: 74 + -74 = 0 0 + -11x = 30 + -74 -11x = 30 + -74 Combine like terms: 30 + -74 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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