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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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