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Simplifying 2(4 + -2x) + -15(2 + -1x) = 22 (4 * 2 + -2x * 2) + -15(2 + -1x) = 22 (8 + -4x) + -15(2 + -1x) = 22 8 + -4x + (2 * -15 + -1x * -15) = 22 8 + -4x + (-30 + 15x) = 22 Reorder the terms: 8 + -30 + -4x + 15x = 22 Combine like terms: 8 + -30 = -22 -22 + -4x + 15x = 22 Combine like terms: -4x + 15x = 11x -22 + 11x = 22 Solving -22 + 11x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 22 + 22 11x = 22 + 22 Combine like terms: 22 + 22 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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