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