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Simplifying 7x + -1(4x + 6) = 4x + -22 Reorder the terms: 7x + -1(6 + 4x) = 4x + -22 7x + (6 * -1 + 4x * -1) = 4x + -22 7x + (-6 + -4x) = 4x + -22 Reorder the terms: -6 + 7x + -4x = 4x + -22 Combine like terms: 7x + -4x = 3x -6 + 3x = 4x + -22 Reorder the terms: -6 + 3x = -22 + 4x Solving -6 + 3x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 3x + -4x = -22 + 4x + -4x Combine like terms: 3x + -4x = -1x -6 + -1x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -1x = -22 + 0 -6 + -1x = -22 Add '6' to each side of the equation. -6 + 6 + -1x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -22 + 6 -1x = -22 + 6 Combine like terms: -22 + 6 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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