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Simplifying 5x + -1(4x + 7) = 6x + -22 Reorder the terms: 5x + -1(7 + 4x) = 6x + -22 5x + (7 * -1 + 4x * -1) = 6x + -22 5x + (-7 + -4x) = 6x + -22 Reorder the terms: -7 + 5x + -4x = 6x + -22 Combine like terms: 5x + -4x = 1x -7 + 1x = 6x + -22 Reorder the terms: -7 + 1x = -22 + 6x Solving -7 + 1x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 1x + -6x = -22 + 6x + -6x Combine like terms: 1x + -6x = -5x -7 + -5x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -5x = -22 + 0 -7 + -5x = -22 Add '7' to each side of the equation. -7 + 7 + -5x = -22 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -22 + 7 -5x = -22 + 7 Combine like terms: -22 + 7 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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