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Simplifying 2(2x + 3) + -3(4x + -5) = 22 Reorder the terms: 2(3 + 2x) + -3(4x + -5) = 22 (3 * 2 + 2x * 2) + -3(4x + -5) = 22 (6 + 4x) + -3(4x + -5) = 22 Reorder the terms: 6 + 4x + -3(-5 + 4x) = 22 6 + 4x + (-5 * -3 + 4x * -3) = 22 6 + 4x + (15 + -12x) = 22 Reorder the terms: 6 + 15 + 4x + -12x = 22 Combine like terms: 6 + 15 = 21 21 + 4x + -12x = 22 Combine like terms: 4x + -12x = -8x 21 + -8x = 22 Solving 21 + -8x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8x = 22 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 22 + -21 -8x = 22 + -21 Combine like terms: 22 + -21 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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