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Simplifying 4(2x + 1) = 5x + -7x Reorder the terms: 4(1 + 2x) = 5x + -7x (1 * 4 + 2x * 4) = 5x + -7x (4 + 8x) = 5x + -7x Combine like terms: 5x + -7x = -2x 4 + 8x = -2x Solving 4 + 8x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 8x + 2x = -2x + 2x Combine like terms: 8x + 2x = 10x 4 + 10x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 10x = 0 Add '-4' to each side of the equation. 4 + -4 + 10x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 0 + -4 10x = 0 + -4 Combine like terms: 0 + -4 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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