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Simplifying 121 + -1(6x + 8) = 6(x + 8) + x Reorder the terms: 121 + -1(8 + 6x) = 6(x + 8) + x 121 + (8 * -1 + 6x * -1) = 6(x + 8) + x 121 + (-8 + -6x) = 6(x + 8) + x Combine like terms: 121 + -8 = 113 113 + -6x = 6(x + 8) + x Reorder the terms: 113 + -6x = 6(8 + x) + x 113 + -6x = (8 * 6 + x * 6) + x 113 + -6x = (48 + 6x) + x Combine like terms: 6x + x = 7x 113 + -6x = 48 + 7x Solving 113 + -6x = 48 + 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. 113 + -6x + -7x = 48 + 7x + -7x Combine like terms: -6x + -7x = -13x 113 + -13x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 113 + -13x = 48 + 0 113 + -13x = 48 Add '-113' to each side of the equation. 113 + -113 + -13x = 48 + -113 Combine like terms: 113 + -113 = 0 0 + -13x = 48 + -113 -13x = 48 + -113 Combine like terms: 48 + -113 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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