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