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Simplifying 3(5x + 4) = 5(2x + -3) + 22 Reorder the terms: 3(4 + 5x) = 5(2x + -3) + 22 (4 * 3 + 5x * 3) = 5(2x + -3) + 22 (12 + 15x) = 5(2x + -3) + 22 Reorder the terms: 12 + 15x = 5(-3 + 2x) + 22 12 + 15x = (-3 * 5 + 2x * 5) + 22 12 + 15x = (-15 + 10x) + 22 Reorder the terms: 12 + 15x = -15 + 22 + 10x Combine like terms: -15 + 22 = 7 12 + 15x = 7 + 10x Solving 12 + 15x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 15x + -10x = 7 + 10x + -10x Combine like terms: 15x + -10x = 5x 12 + 5x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 5x = 7 + 0 12 + 5x = 7 Add '-12' to each side of the equation. 12 + -12 + 5x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 7 + -12 5x = 7 + -12 Combine like terms: 7 + -12 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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