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Simplifying 3x + -2(x + 1) = 4x + -3 Reorder the terms: 3x + -2(1 + x) = 4x + -3 3x + (1 * -2 + x * -2) = 4x + -3 3x + (-2 + -2x) = 4x + -3 Reorder the terms: -2 + 3x + -2x = 4x + -3 Combine like terms: 3x + -2x = 1x -2 + 1x = 4x + -3 Reorder the terms: -2 + 1x = -3 + 4x Solving -2 + 1x = -3 + 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 + 1x + -4x = -3 + 4x + -4x Combine like terms: 1x + -4x = -3x -2 + -3x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -3x = -3 + 0 -2 + -3x = -3 Add '2' to each side of the equation. -2 + 2 + -3x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -3 + 2 -3x = -3 + 2 Combine like terms: -3 + 2 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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