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Simplifying 5(x + 9) = 4(2x + -6) Reorder the terms: 5(9 + x) = 4(2x + -6) (9 * 5 + x * 5) = 4(2x + -6) (45 + 5x) = 4(2x + -6) Reorder the terms: 45 + 5x = 4(-6 + 2x) 45 + 5x = (-6 * 4 + 2x * 4) 45 + 5x = (-24 + 8x) Solving 45 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x 45 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -3x = -24 + 0 45 + -3x = -24 Add '-45' to each side of the equation. 45 + -45 + -3x = -24 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -24 + -45 -3x = -24 + -45 Combine like terms: -24 + -45 = -69 -3x = -69 Divide each side by '-3'. x = 23 Simplifying x = 23
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