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Simplifying 105 + -1(6x + 10) = 6(x + 5) + x Reorder the terms: 105 + -1(10 + 6x) = 6(x + 5) + x 105 + (10 * -1 + 6x * -1) = 6(x + 5) + x 105 + (-10 + -6x) = 6(x + 5) + x Combine like terms: 105 + -10 = 95 95 + -6x = 6(x + 5) + x Reorder the terms: 95 + -6x = 6(5 + x) + x 95 + -6x = (5 * 6 + x * 6) + x 95 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 95 + -6x = 30 + 7x Solving 95 + -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. 95 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 95 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 95 + -13x = 30 + 0 95 + -13x = 30 Add '-95' to each side of the equation. 95 + -95 + -13x = 30 + -95 Combine like terms: 95 + -95 = 0 0 + -13x = 30 + -95 -13x = 30 + -95 Combine like terms: 30 + -95 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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