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