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Simplifying 2x + 1(2x + 1) = 6x + 3(x + -1) Reorder the terms: 2x + 1(1 + 2x) = 6x + 3(x + -1) 2x + (1 * 1 + 2x * 1) = 6x + 3(x + -1) 2x + (1 + 2x) = 6x + 3(x + -1) Reorder the terms: 1 + 2x + 2x = 6x + 3(x + -1) Combine like terms: 2x + 2x = 4x 1 + 4x = 6x + 3(x + -1) Reorder the terms: 1 + 4x = 6x + 3(-1 + x) 1 + 4x = 6x + (-1 * 3 + x * 3) 1 + 4x = 6x + (-3 + 3x) Reorder the terms: 1 + 4x = -3 + 6x + 3x Combine like terms: 6x + 3x = 9x 1 + 4x = -3 + 9x Solving 1 + 4x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 4x + -9x = -3 + 9x + -9x Combine like terms: 4x + -9x = -5x 1 + -5x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -5x = -3 + 0 1 + -5x = -3 Add '-1' to each side of the equation. 1 + -1 + -5x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -3 + -1 -5x = -3 + -1 Combine like terms: -3 + -1 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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