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Simplifying 3(x + -21) = 12x Reorder the terms: 3(-21 + x) = 12x (-21 * 3 + x * 3) = 12x (-63 + 3x) = 12x Solving -63 + 3x = 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. -63 + 3x + -12x = 12x + -12x Combine like terms: 3x + -12x = -9x -63 + -9x = 12x + -12x Combine like terms: 12x + -12x = 0 -63 + -9x = 0 Add '63' to each side of the equation. -63 + 63 + -9x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -9x = 0 + 63 -9x = 0 + 63 Combine like terms: 0 + 63 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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