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Simplifying 5(x + 2) + 3 = 7x + 9 Reorder the terms: 5(2 + x) + 3 = 7x + 9 (2 * 5 + x * 5) + 3 = 7x + 9 (10 + 5x) + 3 = 7x + 9 Reorder the terms: 10 + 3 + 5x = 7x + 9 Combine like terms: 10 + 3 = 13 13 + 5x = 7x + 9 Reorder the terms: 13 + 5x = 9 + 7x Solving 13 + 5x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 5x + -7x = 9 + 7x + -7x Combine like terms: 5x + -7x = -2x 13 + -2x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -2x = 9 + 0 13 + -2x = 9 Add '-13' to each side of the equation. 13 + -13 + -2x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 9 + -13 -2x = 9 + -13 Combine like terms: 9 + -13 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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