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Simplifying 2(2x + -1) + (3x + 2) = (2 + -1x) * 5 + -4x Reorder the terms: 2(-1 + 2x) + (3x + 2) = (2 + -1x) * 5 + -4x (-1 * 2 + 2x * 2) + (3x + 2) = (2 + -1x) * 5 + -4x (-2 + 4x) + (3x + 2) = (2 + -1x) * 5 + -4x Reorder the terms: -2 + 4x + (2 + 3x) = (2 + -1x) * 5 + -4x Remove parenthesis around (2 + 3x) -2 + 4x + 2 + 3x = (2 + -1x) * 5 + -4x Reorder the terms: -2 + 2 + 4x + 3x = (2 + -1x) * 5 + -4x Combine like terms: -2 + 2 = 0 0 + 4x + 3x = (2 + -1x) * 5 + -4x 4x + 3x = (2 + -1x) * 5 + -4x Combine like terms: 4x + 3x = 7x 7x = (2 + -1x) * 5 + -4x Reorder the terms for easier multiplication: 7x = 5(2 + -1x) + -4x 7x = (2 * 5 + -1x * 5) + -4x 7x = (10 + -5x) + -4x Combine like terms: -5x + -4x = -9x 7x = 10 + -9x Solving 7x = 10 + -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. 7x + 9x = 10 + -9x + 9x Combine like terms: 7x + 9x = 16x 16x = 10 + -9x + 9x Combine like terms: -9x + 9x = 0 16x = 10 + 0 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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