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Simplifying 3(x + -4) + 6 = 2x + 16 Reorder the terms: 3(-4 + x) + 6 = 2x + 16 (-4 * 3 + x * 3) + 6 = 2x + 16 (-12 + 3x) + 6 = 2x + 16 Reorder the terms: -12 + 6 + 3x = 2x + 16 Combine like terms: -12 + 6 = -6 -6 + 3x = 2x + 16 Reorder the terms: -6 + 3x = 16 + 2x Solving -6 + 3x = 16 + 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. -6 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 16 + 0 -6 + 1x = 16 Add '6' to each side of the equation. -6 + 6 + 1x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 16 + 6 1x = 16 + 6 Combine like terms: 16 + 6 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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