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Simplifying 107 + -1(6x + 13) = 6(x + 7) + x Reorder the terms: 107 + -1(13 + 6x) = 6(x + 7) + x 107 + (13 * -1 + 6x * -1) = 6(x + 7) + x 107 + (-13 + -6x) = 6(x + 7) + x Combine like terms: 107 + -13 = 94 94 + -6x = 6(x + 7) + x Reorder the terms: 94 + -6x = 6(7 + x) + x 94 + -6x = (7 * 6 + x * 6) + x 94 + -6x = (42 + 6x) + x Combine like terms: 6x + x = 7x 94 + -6x = 42 + 7x Solving 94 + -6x = 42 + 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. 94 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 94 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 94 + -13x = 42 + 0 94 + -13x = 42 Add '-94' to each side of the equation. 94 + -94 + -13x = 42 + -94 Combine like terms: 94 + -94 = 0 0 + -13x = 42 + -94 -13x = 42 + -94 Combine like terms: 42 + -94 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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