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Simplifying 3(x + -4) + 2(x + -1) = 4(x + 3) + -6 Reorder the terms: 3(-4 + x) + 2(x + -1) = 4(x + 3) + -6 (-4 * 3 + x * 3) + 2(x + -1) = 4(x + 3) + -6 (-12 + 3x) + 2(x + -1) = 4(x + 3) + -6 Reorder the terms: -12 + 3x + 2(-1 + x) = 4(x + 3) + -6 -12 + 3x + (-1 * 2 + x * 2) = 4(x + 3) + -6 -12 + 3x + (-2 + 2x) = 4(x + 3) + -6 Reorder the terms: -12 + -2 + 3x + 2x = 4(x + 3) + -6 Combine like terms: -12 + -2 = -14 -14 + 3x + 2x = 4(x + 3) + -6 Combine like terms: 3x + 2x = 5x -14 + 5x = 4(x + 3) + -6 Reorder the terms: -14 + 5x = 4(3 + x) + -6 -14 + 5x = (3 * 4 + x * 4) + -6 -14 + 5x = (12 + 4x) + -6 Reorder the terms: -14 + 5x = 12 + -6 + 4x Combine like terms: 12 + -6 = 6 -14 + 5x = 6 + 4x Solving -14 + 5x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x -14 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 1x = 6 + 0 -14 + 1x = 6 Add '14' to each side of the equation. -14 + 14 + 1x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 6 + 14 1x = 6 + 14 Combine like terms: 6 + 14 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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