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Simplifying 6(x + 3) + 5(x + 30) = 88 Reorder the terms: 6(3 + x) + 5(x + 30) = 88 (3 * 6 + x * 6) + 5(x + 30) = 88 (18 + 6x) + 5(x + 30) = 88 Reorder the terms: 18 + 6x + 5(30 + x) = 88 18 + 6x + (30 * 5 + x * 5) = 88 18 + 6x + (150 + 5x) = 88 Reorder the terms: 18 + 150 + 6x + 5x = 88 Combine like terms: 18 + 150 = 168 168 + 6x + 5x = 88 Combine like terms: 6x + 5x = 11x 168 + 11x = 88 Solving 168 + 11x = 88 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + 11x = 88 + -168 Combine like terms: 168 + -168 = 0 0 + 11x = 88 + -168 11x = 88 + -168 Combine like terms: 88 + -168 = -80 11x = -80 Divide each side by '11'. x = -7.272727273 Simplifying x = -7.272727273
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