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Simplifying 5(9 + -6x) = 111 + -4(3 + 6x) (9 * 5 + -6x * 5) = 111 + -4(3 + 6x) (45 + -30x) = 111 + -4(3 + 6x) 45 + -30x = 111 + (3 * -4 + 6x * -4) 45 + -30x = 111 + (-12 + -24x) Combine like terms: 111 + -12 = 99 45 + -30x = 99 + -24x Solving 45 + -30x = 99 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 45 + -30x + 24x = 99 + -24x + 24x Combine like terms: -30x + 24x = -6x 45 + -6x = 99 + -24x + 24x Combine like terms: -24x + 24x = 0 45 + -6x = 99 + 0 45 + -6x = 99 Add '-45' to each side of the equation. 45 + -45 + -6x = 99 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 99 + -45 -6x = 99 + -45 Combine like terms: 99 + -45 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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