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Simplifying 6(x + 14) = 2x + 11(x + 5) Reorder the terms: 6(14 + x) = 2x + 11(x + 5) (14 * 6 + x * 6) = 2x + 11(x + 5) (84 + 6x) = 2x + 11(x + 5) Reorder the terms: 84 + 6x = 2x + 11(5 + x) 84 + 6x = 2x + (5 * 11 + x * 11) 84 + 6x = 2x + (55 + 11x) Reorder the terms: 84 + 6x = 55 + 2x + 11x Combine like terms: 2x + 11x = 13x 84 + 6x = 55 + 13x Solving 84 + 6x = 55 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 84 + 6x + -13x = 55 + 13x + -13x Combine like terms: 6x + -13x = -7x 84 + -7x = 55 + 13x + -13x Combine like terms: 13x + -13x = 0 84 + -7x = 55 + 0 84 + -7x = 55 Add '-84' to each side of the equation. 84 + -84 + -7x = 55 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = 55 + -84 -7x = 55 + -84 Combine like terms: 55 + -84 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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