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Simplifying 4(4x + 1) = 5x + -7x Reorder the terms: 4(1 + 4x) = 5x + -7x (1 * 4 + 4x * 4) = 5x + -7x (4 + 16x) = 5x + -7x Combine like terms: 5x + -7x = -2x 4 + 16x = -2x Solving 4 + 16x = -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 + 16x + 2x = -2x + 2x Combine like terms: 16x + 2x = 18x 4 + 18x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 18x = 0 Add '-4' to each side of the equation. 4 + -4 + 18x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 0 + -4 18x = 0 + -4 Combine like terms: 0 + -4 = -4 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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