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Simplifying 74 + -1(6x + 10) = 6(x + 2) + x Reorder the terms: 74 + -1(10 + 6x) = 6(x + 2) + x 74 + (10 * -1 + 6x * -1) = 6(x + 2) + x 74 + (-10 + -6x) = 6(x + 2) + x Combine like terms: 74 + -10 = 64 64 + -6x = 6(x + 2) + x Reorder the terms: 64 + -6x = 6(2 + x) + x 64 + -6x = (2 * 6 + x * 6) + x 64 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 64 + -6x = 12 + 7x Solving 64 + -6x = 12 + 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. 64 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 64 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 64 + -13x = 12 + 0 64 + -13x = 12 Add '-64' to each side of the equation. 64 + -64 + -13x = 12 + -64 Combine like terms: 64 + -64 = 0 0 + -13x = 12 + -64 -13x = 12 + -64 Combine like terms: 12 + -64 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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