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Simplifying 3(x + -2) + -4(3 + -1x) = 5x + -12 Reorder the terms: 3(-2 + x) + -4(3 + -1x) = 5x + -12 (-2 * 3 + x * 3) + -4(3 + -1x) = 5x + -12 (-6 + 3x) + -4(3 + -1x) = 5x + -12 -6 + 3x + (3 * -4 + -1x * -4) = 5x + -12 -6 + 3x + (-12 + 4x) = 5x + -12 Reorder the terms: -6 + -12 + 3x + 4x = 5x + -12 Combine like terms: -6 + -12 = -18 -18 + 3x + 4x = 5x + -12 Combine like terms: 3x + 4x = 7x -18 + 7x = 5x + -12 Reorder the terms: -18 + 7x = -12 + 5x Solving -18 + 7x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x -18 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 2x = -12 + 0 -18 + 2x = -12 Add '18' to each side of the equation. -18 + 18 + 2x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -12 + 18 2x = -12 + 18 Combine like terms: -12 + 18 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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