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