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Simplifying 3(x + -4) + -2(x + 1) = 6 + -4x Reorder the terms: 3(-4 + x) + -2(x + 1) = 6 + -4x (-4 * 3 + x * 3) + -2(x + 1) = 6 + -4x (-12 + 3x) + -2(x + 1) = 6 + -4x Reorder the terms: -12 + 3x + -2(1 + x) = 6 + -4x -12 + 3x + (1 * -2 + x * -2) = 6 + -4x -12 + 3x + (-2 + -2x) = 6 + -4x Reorder the terms: -12 + -2 + 3x + -2x = 6 + -4x Combine like terms: -12 + -2 = -14 -14 + 3x + -2x = 6 + -4x Combine like terms: 3x + -2x = 1x -14 + 1x = 6 + -4x Solving -14 + 1x = 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 + 1x + 4x = 6 + -4x + 4x Combine like terms: 1x + 4x = 5x -14 + 5x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 5x = 6 + 0 -14 + 5x = 6 Add '14' to each side of the equation. -14 + 14 + 5x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 6 + 14 5x = 6 + 14 Combine like terms: 6 + 14 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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