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Simplifying 3(5x + -6) + 9 = 4(3x + 12) + 3 Reorder the terms: 3(-6 + 5x) + 9 = 4(3x + 12) + 3 (-6 * 3 + 5x * 3) + 9 = 4(3x + 12) + 3 (-18 + 15x) + 9 = 4(3x + 12) + 3 Reorder the terms: -18 + 9 + 15x = 4(3x + 12) + 3 Combine like terms: -18 + 9 = -9 -9 + 15x = 4(3x + 12) + 3 Reorder the terms: -9 + 15x = 4(12 + 3x) + 3 -9 + 15x = (12 * 4 + 3x * 4) + 3 -9 + 15x = (48 + 12x) + 3 Reorder the terms: -9 + 15x = 48 + 3 + 12x Combine like terms: 48 + 3 = 51 -9 + 15x = 51 + 12x Solving -9 + 15x = 51 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 15x + -12x = 51 + 12x + -12x Combine like terms: 15x + -12x = 3x -9 + 3x = 51 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 3x = 51 + 0 -9 + 3x = 51 Add '9' to each side of the equation. -9 + 9 + 3x = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 51 + 9 3x = 51 + 9 Combine like terms: 51 + 9 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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