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Simplifying 104 + -1(6x + 11) = 6(x + 9) + x Reorder the terms: 104 + -1(11 + 6x) = 6(x + 9) + x 104 + (11 * -1 + 6x * -1) = 6(x + 9) + x 104 + (-11 + -6x) = 6(x + 9) + x Combine like terms: 104 + -11 = 93 93 + -6x = 6(x + 9) + x Reorder the terms: 93 + -6x = 6(9 + x) + x 93 + -6x = (9 * 6 + x * 6) + x 93 + -6x = (54 + 6x) + x Combine like terms: 6x + x = 7x 93 + -6x = 54 + 7x Solving 93 + -6x = 54 + 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. 93 + -6x + -7x = 54 + 7x + -7x Combine like terms: -6x + -7x = -13x 93 + -13x = 54 + 7x + -7x Combine like terms: 7x + -7x = 0 93 + -13x = 54 + 0 93 + -13x = 54 Add '-93' to each side of the equation. 93 + -93 + -13x = 54 + -93 Combine like terms: 93 + -93 = 0 0 + -13x = 54 + -93 -13x = 54 + -93 Combine like terms: 54 + -93 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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