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Simplifying 3(x + -1) + 4(x + -2) = 12x + 4 Reorder the terms: 3(-1 + x) + 4(x + -2) = 12x + 4 (-1 * 3 + x * 3) + 4(x + -2) = 12x + 4 (-3 + 3x) + 4(x + -2) = 12x + 4 Reorder the terms: -3 + 3x + 4(-2 + x) = 12x + 4 -3 + 3x + (-2 * 4 + x * 4) = 12x + 4 -3 + 3x + (-8 + 4x) = 12x + 4 Reorder the terms: -3 + -8 + 3x + 4x = 12x + 4 Combine like terms: -3 + -8 = -11 -11 + 3x + 4x = 12x + 4 Combine like terms: 3x + 4x = 7x -11 + 7x = 12x + 4 Reorder the terms: -11 + 7x = 4 + 12x Solving -11 + 7x = 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. -11 + 7x + -12x = 4 + 12x + -12x Combine like terms: 7x + -12x = -5x -11 + -5x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -5x = 4 + 0 -11 + -5x = 4 Add '11' to each side of the equation. -11 + 11 + -5x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 4 + 11 -5x = 4 + 11 Combine like terms: 4 + 11 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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