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Simplifying 4x + 3(x + -2(2x + -1)) = 4 + -3x Reorder the terms: 4x + 3(x + -2(-1 + 2x)) = 4 + -3x 4x + 3(x + (-1 * -2 + 2x * -2)) = 4 + -3x 4x + 3(x + (2 + -4x)) = 4 + -3x Reorder the terms: 4x + 3(2 + x + -4x) = 4 + -3x Combine like terms: x + -4x = -3x 4x + 3(2 + -3x) = 4 + -3x 4x + (2 * 3 + -3x * 3) = 4 + -3x 4x + (6 + -9x) = 4 + -3x Reorder the terms: 6 + 4x + -9x = 4 + -3x Combine like terms: 4x + -9x = -5x 6 + -5x = 4 + -3x Solving 6 + -5x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -5x + 3x = 4 + -3x + 3x Combine like terms: -5x + 3x = -2x 6 + -2x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -2x = 4 + 0 6 + -2x = 4 Add '-6' to each side of the equation. 6 + -6 + -2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 4 + -6 -2x = 4 + -6 Combine like terms: 4 + -6 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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