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Simplifying 3(x + -4) + -67 = 2x + 46 Reorder the terms: 3(-4 + x) + -67 = 2x + 46 (-4 * 3 + x * 3) + -67 = 2x + 46 (-12 + 3x) + -67 = 2x + 46 Reorder the terms: -12 + -67 + 3x = 2x + 46 Combine like terms: -12 + -67 = -79 -79 + 3x = 2x + 46 Reorder the terms: -79 + 3x = 46 + 2x Solving -79 + 3x = 46 + 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. -79 + 3x + -2x = 46 + 2x + -2x Combine like terms: 3x + -2x = 1x -79 + 1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 -79 + 1x = 46 + 0 -79 + 1x = 46 Add '79' to each side of the equation. -79 + 79 + 1x = 46 + 79 Combine like terms: -79 + 79 = 0 0 + 1x = 46 + 79 1x = 46 + 79 Combine like terms: 46 + 79 = 125 1x = 125 Divide each side by '1'. x = 125 Simplifying x = 125
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