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Simplifying 12 + -6x = 3(4x + 1) + -9x Reorder the terms: 12 + -6x = 3(1 + 4x) + -9x 12 + -6x = (1 * 3 + 4x * 3) + -9x 12 + -6x = (3 + 12x) + -9x Combine like terms: 12x + -9x = 3x 12 + -6x = 3 + 3x Solving 12 + -6x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -6x + -3x = 3 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = 3 + 0 12 + -9x = 3 Add '-12' to each side of the equation. 12 + -12 + -9x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 3 + -12 -9x = 3 + -12 Combine like terms: 3 + -12 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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