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