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Simplifying 6(9 + -1x) + -5(7 + -1x) = x (9 * 6 + -1x * 6) + -5(7 + -1x) = x (54 + -6x) + -5(7 + -1x) = x 54 + -6x + (7 * -5 + -1x * -5) = x 54 + -6x + (-35 + 5x) = x Reorder the terms: 54 + -35 + -6x + 5x = x Combine like terms: 54 + -35 = 19 19 + -6x + 5x = x Combine like terms: -6x + 5x = -1x 19 + -1x = x Solving 19 + -1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -1x + -1x = x + -1x Combine like terms: -1x + -1x = -2x 19 + -2x = x + -1x Combine like terms: x + -1x = 0 19 + -2x = 0 Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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