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Simplifying 5(x + -3) + 2x = 4x + -9 Reorder the terms: 5(-3 + x) + 2x = 4x + -9 (-3 * 5 + x * 5) + 2x = 4x + -9 (-15 + 5x) + 2x = 4x + -9 Combine like terms: 5x + 2x = 7x -15 + 7x = 4x + -9 Reorder the terms: -15 + 7x = -9 + 4x Solving -15 + 7x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 7x + -4x = -9 + 4x + -4x Combine like terms: 7x + -4x = 3x -15 + 3x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3x = -9 + 0 -15 + 3x = -9 Add '15' to each side of the equation. -15 + 15 + 3x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -9 + 15 3x = -9 + 15 Combine like terms: -9 + 15 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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