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Simplifying 5(3x + -9) = 5(x + -2) + 21 Reorder the terms: 5(-9 + 3x) = 5(x + -2) + 21 (-9 * 5 + 3x * 5) = 5(x + -2) + 21 (-45 + 15x) = 5(x + -2) + 21 Reorder the terms: -45 + 15x = 5(-2 + x) + 21 -45 + 15x = (-2 * 5 + x * 5) + 21 -45 + 15x = (-10 + 5x) + 21 Reorder the terms: -45 + 15x = -10 + 21 + 5x Combine like terms: -10 + 21 = 11 -45 + 15x = 11 + 5x Solving -45 + 15x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 15x + -5x = 11 + 5x + -5x Combine like terms: 15x + -5x = 10x -45 + 10x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 10x = 11 + 0 -45 + 10x = 11 Add '45' to each side of the equation. -45 + 45 + 10x = 11 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = 11 + 45 10x = 11 + 45 Combine like terms: 11 + 45 = 56 10x = 56 Divide each side by '10'. x = 5.6 Simplifying x = 5.6
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