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Simplifying 2(4x + 6) + -3 = 5(x + 3) + 6 Reorder the terms: 2(6 + 4x) + -3 = 5(x + 3) + 6 (6 * 2 + 4x * 2) + -3 = 5(x + 3) + 6 (12 + 8x) + -3 = 5(x + 3) + 6 Reorder the terms: 12 + -3 + 8x = 5(x + 3) + 6 Combine like terms: 12 + -3 = 9 9 + 8x = 5(x + 3) + 6 Reorder the terms: 9 + 8x = 5(3 + x) + 6 9 + 8x = (3 * 5 + x * 5) + 6 9 + 8x = (15 + 5x) + 6 Reorder the terms: 9 + 8x = 15 + 6 + 5x Combine like terms: 15 + 6 = 21 9 + 8x = 21 + 5x Solving 9 + 8x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 8x + -5x = 21 + 5x + -5x Combine like terms: 8x + -5x = 3x 9 + 3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 3x = 21 + 0 9 + 3x = 21 Add '-9' to each side of the equation. 9 + -9 + 3x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 21 + -9 3x = 21 + -9 Combine like terms: 21 + -9 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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