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Simplifying 5(x + 2) + 3 = 6(3x + 9) + -2 Reorder the terms: 5(2 + x) + 3 = 6(3x + 9) + -2 (2 * 5 + x * 5) + 3 = 6(3x + 9) + -2 (10 + 5x) + 3 = 6(3x + 9) + -2 Reorder the terms: 10 + 3 + 5x = 6(3x + 9) + -2 Combine like terms: 10 + 3 = 13 13 + 5x = 6(3x + 9) + -2 Reorder the terms: 13 + 5x = 6(9 + 3x) + -2 13 + 5x = (9 * 6 + 3x * 6) + -2 13 + 5x = (54 + 18x) + -2 Reorder the terms: 13 + 5x = 54 + -2 + 18x Combine like terms: 54 + -2 = 52 13 + 5x = 52 + 18x Solving 13 + 5x = 52 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 13 + 5x + -18x = 52 + 18x + -18x Combine like terms: 5x + -18x = -13x 13 + -13x = 52 + 18x + -18x Combine like terms: 18x + -18x = 0 13 + -13x = 52 + 0 13 + -13x = 52 Add '-13' to each side of the equation. 13 + -13 + -13x = 52 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 52 + -13 -13x = 52 + -13 Combine like terms: 52 + -13 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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