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Simplifying 113 + -1(6x + 10) = 6(x + 2) + x Reorder the terms: 113 + -1(10 + 6x) = 6(x + 2) + x 113 + (10 * -1 + 6x * -1) = 6(x + 2) + x 113 + (-10 + -6x) = 6(x + 2) + x Combine like terms: 113 + -10 = 103 103 + -6x = 6(x + 2) + x Reorder the terms: 103 + -6x = 6(2 + x) + x 103 + -6x = (2 * 6 + x * 6) + x 103 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 103 + -6x = 12 + 7x Solving 103 + -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. 103 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 103 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 103 + -13x = 12 + 0 103 + -13x = 12 Add '-103' to each side of the equation. 103 + -103 + -13x = 12 + -103 Combine like terms: 103 + -103 = 0 0 + -13x = 12 + -103 -13x = 12 + -103 Combine like terms: 12 + -103 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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