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Simplifying x + 3 + -2(1 + 2x) = (x + -4) * 2 + -1 x + 3 + (1 * -2 + 2x * -2) = (x + -4) * 2 + -1 x + 3 + (-2 + -4x) = (x + -4) * 2 + -1 Reorder the terms: 3 + -2 + x + -4x = (x + -4) * 2 + -1 Combine like terms: 3 + -2 = 1 1 + x + -4x = (x + -4) * 2 + -1 Combine like terms: x + -4x = -3x 1 + -3x = (x + -4) * 2 + -1 Reorder the terms: 1 + -3x = (-4 + x) * 2 + -1 Reorder the terms for easier multiplication: 1 + -3x = 2(-4 + x) + -1 1 + -3x = (-4 * 2 + x * 2) + -1 1 + -3x = (-8 + 2x) + -1 Reorder the terms: 1 + -3x = -8 + -1 + 2x Combine like terms: -8 + -1 = -9 1 + -3x = -9 + 2x Solving 1 + -3x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -3x + -2x = -9 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = -9 + 0 1 + -5x = -9 Add '-1' to each side of the equation. 1 + -1 + -5x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -9 + -1 -5x = -9 + -1 Combine like terms: -9 + -1 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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