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Simplifying 4(4x + 5) = 3(5x + -2) + 22 Reorder the terms: 4(5 + 4x) = 3(5x + -2) + 22 (5 * 4 + 4x * 4) = 3(5x + -2) + 22 (20 + 16x) = 3(5x + -2) + 22 Reorder the terms: 20 + 16x = 3(-2 + 5x) + 22 20 + 16x = (-2 * 3 + 5x * 3) + 22 20 + 16x = (-6 + 15x) + 22 Reorder the terms: 20 + 16x = -6 + 22 + 15x Combine like terms: -6 + 22 = 16 20 + 16x = 16 + 15x Solving 20 + 16x = 16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 16x + -15x = 16 + 15x + -15x Combine like terms: 16x + -15x = 1x 20 + 1x = 16 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + 1x = 16 + 0 20 + 1x = 16 Add '-20' to each side of the equation. 20 + -20 + 1x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 16 + -20 1x = 16 + -20 Combine like terms: 16 + -20 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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