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Simplifying -6 = 5(x + -7) + -4x Reorder the terms: -6 = 5(-7 + x) + -4x -6 = (-7 * 5 + x * 5) + -4x -6 = (-35 + 5x) + -4x Combine like terms: 5x + -4x = 1x -6 = -35 + 1x Solving -6 = -35 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -1x = -35 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -1x = -35 + 0 -6 + -1x = -35 Add '6' to each side of the equation. -6 + 6 + -1x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -35 + 6 -1x = -35 + 6 Combine like terms: -35 + 6 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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