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Simplifying 2(x + -4) + -22 = 10 + -3x Reorder the terms: 2(-4 + x) + -22 = 10 + -3x (-4 * 2 + x * 2) + -22 = 10 + -3x (-8 + 2x) + -22 = 10 + -3x Reorder the terms: -8 + -22 + 2x = 10 + -3x Combine like terms: -8 + -22 = -30 -30 + 2x = 10 + -3x Solving -30 + 2x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 2x + 3x = 10 + -3x + 3x Combine like terms: 2x + 3x = 5x -30 + 5x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 5x = 10 + 0 -30 + 5x = 10 Add '30' to each side of the equation. -30 + 30 + 5x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 10 + 30 5x = 10 + 30 Combine like terms: 10 + 30 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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