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Simplifying 5x + 2 = 3x + 4(2x + -1) Reorder the terms: 2 + 5x = 3x + 4(2x + -1) Reorder the terms: 2 + 5x = 3x + 4(-1 + 2x) 2 + 5x = 3x + (-1 * 4 + 2x * 4) 2 + 5x = 3x + (-4 + 8x) Reorder the terms: 2 + 5x = -4 + 3x + 8x Combine like terms: 3x + 8x = 11x 2 + 5x = -4 + 11x Solving 2 + 5x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 2 + 5x + -11x = -4 + 11x + -11x Combine like terms: 5x + -11x = -6x 2 + -6x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + -6x = -4 + 0 2 + -6x = -4 Add '-2' to each side of the equation. 2 + -2 + -6x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -4 + -2 -6x = -4 + -2 Combine like terms: -4 + -2 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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