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Simplifying 102 + -1(6x + 8) = 6(x + 5) + x Reorder the terms: 102 + -1(8 + 6x) = 6(x + 5) + x 102 + (8 * -1 + 6x * -1) = 6(x + 5) + x 102 + (-8 + -6x) = 6(x + 5) + x Combine like terms: 102 + -8 = 94 94 + -6x = 6(x + 5) + x Reorder the terms: 94 + -6x = 6(5 + x) + x 94 + -6x = (5 * 6 + x * 6) + x 94 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 94 + -6x = 30 + 7x Solving 94 + -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. 94 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 94 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 94 + -13x = 30 + 0 94 + -13x = 30 Add '-94' to each side of the equation. 94 + -94 + -13x = 30 + -94 Combine like terms: 94 + -94 = 0 0 + -13x = 30 + -94 -13x = 30 + -94 Combine like terms: 30 + -94 = -64 -13x = -64 Divide each side by '-13'. x = 4.923076923 Simplifying x = 4.923076923
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