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Simplifying 45 = 5x + 6(x + -4) Reorder the terms: 45 = 5x + 6(-4 + x) 45 = 5x + (-4 * 6 + x * 6) 45 = 5x + (-24 + 6x) Reorder the terms: 45 = -24 + 5x + 6x Combine like terms: 5x + 6x = 11x 45 = -24 + 11x Solving 45 = -24 + 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. 45 + -11x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 45 + -11x = -24 + 0 45 + -11x = -24 Add '-45' to each side of the equation. 45 + -45 + -11x = -24 + -45 Combine like terms: 45 + -45 = 0 0 + -11x = -24 + -45 -11x = -24 + -45 Combine like terms: -24 + -45 = -69 -11x = -69 Divide each side by '-11'. x = 6.272727273 Simplifying x = 6.272727273
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