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Simplifying 6(7 + -11x) + 7x = 10(9 + -2x) + 9x (7 * 6 + -11x * 6) + 7x = 10(9 + -2x) + 9x (42 + -66x) + 7x = 10(9 + -2x) + 9x Combine like terms: -66x + 7x = -59x 42 + -59x = 10(9 + -2x) + 9x 42 + -59x = (9 * 10 + -2x * 10) + 9x 42 + -59x = (90 + -20x) + 9x Combine like terms: -20x + 9x = -11x 42 + -59x = 90 + -11x Solving 42 + -59x = 90 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 42 + -59x + 11x = 90 + -11x + 11x Combine like terms: -59x + 11x = -48x 42 + -48x = 90 + -11x + 11x Combine like terms: -11x + 11x = 0 42 + -48x = 90 + 0 42 + -48x = 90 Add '-42' to each side of the equation. 42 + -42 + -48x = 90 + -42 Combine like terms: 42 + -42 = 0 0 + -48x = 90 + -42 -48x = 90 + -42 Combine like terms: 90 + -42 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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