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Simplifying 75 + -1(6x + 6) = 6(x + 5) + x Reorder the terms: 75 + -1(6 + 6x) = 6(x + 5) + x 75 + (6 * -1 + 6x * -1) = 6(x + 5) + x 75 + (-6 + -6x) = 6(x + 5) + x Combine like terms: 75 + -6 = 69 69 + -6x = 6(x + 5) + x Reorder the terms: 69 + -6x = 6(5 + x) + x 69 + -6x = (5 * 6 + x * 6) + x 69 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 69 + -6x = 30 + 7x Solving 69 + -6x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 69 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 69 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 69 + -13x = 30 + 0 69 + -13x = 30 Add '-69' to each side of the equation. 69 + -69 + -13x = 30 + -69 Combine like terms: 69 + -69 = 0 0 + -13x = 30 + -69 -13x = 30 + -69 Combine like terms: 30 + -69 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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