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Simplifying 5(x + 9) = 3(3x + 19) Reorder the terms: 5(9 + x) = 3(3x + 19) (9 * 5 + x * 5) = 3(3x + 19) (45 + 5x) = 3(3x + 19) Reorder the terms: 45 + 5x = 3(19 + 3x) 45 + 5x = (19 * 3 + 3x * 3) 45 + 5x = (57 + 9x) Solving 45 + 5x = 57 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + 5x + -9x = 57 + 9x + -9x Combine like terms: 5x + -9x = -4x 45 + -4x = 57 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -4x = 57 + 0 45 + -4x = 57 Add '-45' to each side of the equation. 45 + -45 + -4x = 57 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 57 + -45 -4x = 57 + -45 Combine like terms: 57 + -45 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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