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Simplifying 4x + -1(5x + 6) = 7x + -22 Reorder the terms: 4x + -1(6 + 5x) = 7x + -22 4x + (6 * -1 + 5x * -1) = 7x + -22 4x + (-6 + -5x) = 7x + -22 Reorder the terms: -6 + 4x + -5x = 7x + -22 Combine like terms: 4x + -5x = -1x -6 + -1x = 7x + -22 Reorder the terms: -6 + -1x = -22 + 7x Solving -6 + -1x = -22 + 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. -6 + -1x + -7x = -22 + 7x + -7x Combine like terms: -1x + -7x = -8x -6 + -8x = -22 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -8x = -22 + 0 -6 + -8x = -22 Add '6' to each side of the equation. -6 + 6 + -8x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -22 + 6 -8x = -22 + 6 Combine like terms: -22 + 6 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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