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Simplifying 3x + 2 = 4x + -1(-1) Reorder the terms: 2 + 3x = 4x + -1(-1) Multiply -1 * -1 2 + 3x = 4x + 1 Reorder the terms: 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 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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