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Simplifying 12x + 3(x + -4) = 9x + 18 Reorder the terms: 12x + 3(-4 + x) = 9x + 18 12x + (-4 * 3 + x * 3) = 9x + 18 12x + (-12 + 3x) = 9x + 18 Reorder the terms: -12 + 12x + 3x = 9x + 18 Combine like terms: 12x + 3x = 15x -12 + 15x = 9x + 18 Reorder the terms: -12 + 15x = 18 + 9x Solving -12 + 15x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 15x + -9x = 18 + 9x + -9x Combine like terms: 15x + -9x = 6x -12 + 6x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 6x = 18 + 0 -12 + 6x = 18 Add '12' to each side of the equation. -12 + 12 + 6x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 18 + 12 6x = 18 + 12 Combine like terms: 18 + 12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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