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