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Simplifying 5(x + 3) = 3(3x + -2) Reorder the terms: 5(3 + x) = 3(3x + -2) (3 * 5 + x * 5) = 3(3x + -2) (15 + 5x) = 3(3x + -2) Reorder the terms: 15 + 5x = 3(-2 + 3x) 15 + 5x = (-2 * 3 + 3x * 3) 15 + 5x = (-6 + 9x) Solving 15 + 5x = -6 + 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. 15 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 15 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -4x = -6 + 0 15 + -4x = -6 Add '-15' to each side of the equation. 15 + -15 + -4x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -6 + -15 -4x = -6 + -15 Combine like terms: -6 + -15 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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