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Simplifying 15x + -9 = 3(4x + 1) Reorder the terms: -9 + 15x = 3(4x + 1) Reorder the terms: -9 + 15x = 3(1 + 4x) -9 + 15x = (1 * 3 + 4x * 3) -9 + 15x = (3 + 12x) Solving -9 + 15x = 3 + 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 = 3 + 12x + -12x Combine like terms: 15x + -12x = 3x -9 + 3x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + 3x = 3 + 0 -9 + 3x = 3 Add '9' to each side of the equation. -9 + 9 + 3x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 3 + 9 3x = 3 + 9 Combine like terms: 3 + 9 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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