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Simplifying 133 + -1(6x + 12) = 6(x + 5) + x Reorder the terms: 133 + -1(12 + 6x) = 6(x + 5) + x 133 + (12 * -1 + 6x * -1) = 6(x + 5) + x 133 + (-12 + -6x) = 6(x + 5) + x Combine like terms: 133 + -12 = 121 121 + -6x = 6(x + 5) + x Reorder the terms: 121 + -6x = 6(5 + x) + x 121 + -6x = (5 * 6 + x * 6) + x 121 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 121 + -6x = 30 + 7x Solving 121 + -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. 121 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 121 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 121 + -13x = 30 + 0 121 + -13x = 30 Add '-121' to each side of the equation. 121 + -121 + -13x = 30 + -121 Combine like terms: 121 + -121 = 0 0 + -13x = 30 + -121 -13x = 30 + -121 Combine like terms: 30 + -121 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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