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Simplifying 3(x + -2) + 1 = 2 + 4x Reorder the terms: 3(-2 + x) + 1 = 2 + 4x (-2 * 3 + x * 3) + 1 = 2 + 4x (-6 + 3x) + 1 = 2 + 4x Reorder the terms: -6 + 1 + 3x = 2 + 4x Combine like terms: -6 + 1 = -5 -5 + 3x = 2 + 4x Solving -5 + 3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = 2 + 0 -5 + -1x = 2 Add '5' to each side of the equation. -5 + 5 + -1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 2 + 5 -1x = 2 + 5 Combine like terms: 2 + 5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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