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Simplifying -13 + x = -4(x + -6) + -2 Reorder the terms: -13 + x = -4(-6 + x) + -2 -13 + x = (-6 * -4 + x * -4) + -2 -13 + x = (24 + -4x) + -2 Reorder the terms: -13 + x = 24 + -2 + -4x Combine like terms: 24 + -2 = 22 -13 + x = 22 + -4x Solving -13 + x = 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. -13 + x + 4x = 22 + -4x + 4x Combine like terms: x + 4x = 5x -13 + 5x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 5x = 22 + 0 -13 + 5x = 22 Add '13' to each side of the equation. -13 + 13 + 5x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 22 + 13 5x = 22 + 13 Combine like terms: 22 + 13 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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