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Simplifying 2x + 10 + -22 = 4(x + 2) + 3x Reorder the terms: 10 + -22 + 2x = 4(x + 2) + 3x Combine like terms: 10 + -22 = -12 -12 + 2x = 4(x + 2) + 3x Reorder the terms: -12 + 2x = 4(2 + x) + 3x -12 + 2x = (2 * 4 + x * 4) + 3x -12 + 2x = (8 + 4x) + 3x Combine like terms: 4x + 3x = 7x -12 + 2x = 8 + 7x Solving -12 + 2x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x -12 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -5x = 8 + 0 -12 + -5x = 8 Add '12' to each side of the equation. -12 + 12 + -5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 8 + 12 -5x = 8 + 12 Combine like terms: 8 + 12 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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