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Simplifying 3(x + -4) + -11 = 12x + 4 Reorder the terms: 3(-4 + x) + -11 = 12x + 4 (-4 * 3 + x * 3) + -11 = 12x + 4 (-12 + 3x) + -11 = 12x + 4 Reorder the terms: -12 + -11 + 3x = 12x + 4 Combine like terms: -12 + -11 = -23 -23 + 3x = 12x + 4 Reorder the terms: -23 + 3x = 4 + 12x Solving -23 + 3x = 4 + 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. -23 + 3x + -12x = 4 + 12x + -12x Combine like terms: 3x + -12x = -9x -23 + -9x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -9x = 4 + 0 -23 + -9x = 4 Add '23' to each side of the equation. -23 + 23 + -9x = 4 + 23 Combine like terms: -23 + 23 = 0 0 + -9x = 4 + 23 -9x = 4 + 23 Combine like terms: 4 + 23 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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