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Simplifying 4(x + 3) + -1(2 + -9) = 12x Reorder the terms: 4(3 + x) + -1(2 + -9) = 12x (3 * 4 + x * 4) + -1(2 + -9) = 12x (12 + 4x) + -1(2 + -9) = 12x Combine like terms: 2 + -9 = -7 12 + 4x + -1(-7) = 12x Multiply -1 * -7 12 + 4x + 7 = 12x Reorder the terms: 12 + 7 + 4x = 12x Combine like terms: 12 + 7 = 19 19 + 4x = 12x Solving 19 + 4x = 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. 19 + 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x 19 + -8x = 12x + -12x Combine like terms: 12x + -12x = 0 19 + -8x = 0 Add '-19' to each side of the equation. 19 + -19 + -8x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 0 + -19 -8x = 0 + -19 Combine like terms: 0 + -19 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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