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Simplifying 3x + 3(x + -4) = -2 + x Reorder the terms: 3x + 3(-4 + x) = -2 + x 3x + (-4 * 3 + x * 3) = -2 + x 3x + (-12 + 3x) = -2 + x Reorder the terms: -12 + 3x + 3x = -2 + x Combine like terms: 3x + 3x = 6x -12 + 6x = -2 + x Solving -12 + 6x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 6x + -1x = -2 + x + -1x Combine like terms: 6x + -1x = 5x -12 + 5x = -2 + x + -1x Combine like terms: x + -1x = 0 -12 + 5x = -2 + 0 -12 + 5x = -2 Add '12' to each side of the equation. -12 + 12 + 5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -2 + 12 5x = -2 + 12 Combine like terms: -2 + 12 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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