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Simplifying 2x + 1 + -4(4 + -1x) = 5x + -2 2x + 1 + (4 * -4 + -1x * -4) = 5x + -2 2x + 1 + (-16 + 4x) = 5x + -2 Reorder the terms: 1 + -16 + 2x + 4x = 5x + -2 Combine like terms: 1 + -16 = -15 -15 + 2x + 4x = 5x + -2 Combine like terms: 2x + 4x = 6x -15 + 6x = 5x + -2 Reorder the terms: -15 + 6x = -2 + 5x Solving -15 + 6x = -2 + 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. -15 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x -15 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 1x = -2 + 0 -15 + 1x = -2 Add '15' to each side of the equation. -15 + 15 + 1x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -2 + 15 1x = -2 + 15 Combine like terms: -2 + 15 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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