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Simplifying 3(x + -4) + 9 = 3(3x + -9) Reorder the terms: 3(-4 + x) + 9 = 3(3x + -9) (-4 * 3 + x * 3) + 9 = 3(3x + -9) (-12 + 3x) + 9 = 3(3x + -9) Reorder the terms: -12 + 9 + 3x = 3(3x + -9) Combine like terms: -12 + 9 = -3 -3 + 3x = 3(3x + -9) Reorder the terms: -3 + 3x = 3(-9 + 3x) -3 + 3x = (-9 * 3 + 3x * 3) -3 + 3x = (-27 + 9x) Solving -3 + 3x = -27 + 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. -3 + 3x + -9x = -27 + 9x + -9x Combine like terms: 3x + -9x = -6x -3 + -6x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -6x = -27 + 0 -3 + -6x = -27 Add '3' to each side of the equation. -3 + 3 + -6x = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -27 + 3 -6x = -27 + 3 Combine like terms: -27 + 3 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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