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Simplifying 62 + -1(6x + 11) = 6(x + 2) + x Reorder the terms: 62 + -1(11 + 6x) = 6(x + 2) + x 62 + (11 * -1 + 6x * -1) = 6(x + 2) + x 62 + (-11 + -6x) = 6(x + 2) + x Combine like terms: 62 + -11 = 51 51 + -6x = 6(x + 2) + x Reorder the terms: 51 + -6x = 6(2 + x) + x 51 + -6x = (2 * 6 + x * 6) + x 51 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 51 + -6x = 12 + 7x Solving 51 + -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. 51 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 51 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 51 + -13x = 12 + 0 51 + -13x = 12 Add '-51' to each side of the equation. 51 + -51 + -13x = 12 + -51 Combine like terms: 51 + -51 = 0 0 + -13x = 12 + -51 -13x = 12 + -51 Combine like terms: 12 + -51 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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