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Simplifying 6(1 + -1x + 8) = 7(1x + -1) Reorder the terms: 6(1 + 8 + -1x) = 7(1x + -1) Combine like terms: 1 + 8 = 9 6(9 + -1x) = 7(1x + -1) (9 * 6 + -1x * 6) = 7(1x + -1) (54 + -6x) = 7(1x + -1) Reorder the terms: 54 + -6x = 7(-1 + 1x) 54 + -6x = (-1 * 7 + 1x * 7) 54 + -6x = (-7 + 7x) Solving 54 + -6x = -7 + 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. 54 + -6x + -7x = -7 + 7x + -7x Combine like terms: -6x + -7x = -13x 54 + -13x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -13x = -7 + 0 54 + -13x = -7 Add '-54' to each side of the equation. 54 + -54 + -13x = -7 + -54 Combine like terms: 54 + -54 = 0 0 + -13x = -7 + -54 -13x = -7 + -54 Combine like terms: -7 + -54 = -61 -13x = -61 Divide each side by '-13'. x = 4.692307692 Simplifying x = 4.692307692
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