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Simplifying 2x + -3(x + -2) = 4x + 1 Reorder the terms: 2x + -3(-2 + x) = 4x + 1 2x + (-2 * -3 + x * -3) = 4x + 1 2x + (6 + -3x) = 4x + 1 Reorder the terms: 6 + 2x + -3x = 4x + 1 Combine like terms: 2x + -3x = -1x 6 + -1x = 4x + 1 Reorder the terms: 6 + -1x = 1 + 4x Solving 6 + -1x = 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. 6 + -1x + -4x = 1 + 4x + -4x Combine like terms: -1x + -4x = -5x 6 + -5x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -5x = 1 + 0 6 + -5x = 1 Add '-6' to each side of the equation. 6 + -6 + -5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 1 + -6 -5x = 1 + -6 Combine like terms: 1 + -6 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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