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Simplifying 65 + -1(6x + 15) = 6(x + 4) + x Reorder the terms: 65 + -1(15 + 6x) = 6(x + 4) + x 65 + (15 * -1 + 6x * -1) = 6(x + 4) + x 65 + (-15 + -6x) = 6(x + 4) + x Combine like terms: 65 + -15 = 50 50 + -6x = 6(x + 4) + x Reorder the terms: 50 + -6x = 6(4 + x) + x 50 + -6x = (4 * 6 + x * 6) + x 50 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 50 + -6x = 24 + 7x Solving 50 + -6x = 24 + 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. 50 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 50 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 50 + -13x = 24 + 0 50 + -13x = 24 Add '-50' to each side of the equation. 50 + -50 + -13x = 24 + -50 Combine like terms: 50 + -50 = 0 0 + -13x = 24 + -50 -13x = 24 + -50 Combine like terms: 24 + -50 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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