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Simplifying 4(x + -2) + -7x = 2x + 22 Reorder the terms: 4(-2 + x) + -7x = 2x + 22 (-2 * 4 + x * 4) + -7x = 2x + 22 (-8 + 4x) + -7x = 2x + 22 Combine like terms: 4x + -7x = -3x -8 + -3x = 2x + 22 Reorder the terms: -8 + -3x = 22 + 2x Solving -8 + -3x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -3x + -2x = 22 + 2x + -2x Combine like terms: -3x + -2x = -5x -8 + -5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -5x = 22 + 0 -8 + -5x = 22 Add '8' to each side of the equation. -8 + 8 + -5x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 22 + 8 -5x = 22 + 8 Combine like terms: 22 + 8 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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