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Simplifying 90 + -1(6x + 9) = 6(x + 7) + x Reorder the terms: 90 + -1(9 + 6x) = 6(x + 7) + x 90 + (9 * -1 + 6x * -1) = 6(x + 7) + x 90 + (-9 + -6x) = 6(x + 7) + x Combine like terms: 90 + -9 = 81 81 + -6x = 6(x + 7) + x Reorder the terms: 81 + -6x = 6(7 + x) + x 81 + -6x = (7 * 6 + x * 6) + x 81 + -6x = (42 + 6x) + x Combine like terms: 6x + x = 7x 81 + -6x = 42 + 7x Solving 81 + -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. 81 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 81 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 81 + -13x = 42 + 0 81 + -13x = 42 Add '-81' to each side of the equation. 81 + -81 + -13x = 42 + -81 Combine like terms: 81 + -81 = 0 0 + -13x = 42 + -81 -13x = 42 + -81 Combine like terms: 42 + -81 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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