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Simplifying 7(2x + -5) = 4x + 9 + -1x Reorder the terms: 7(-5 + 2x) = 4x + 9 + -1x (-5 * 7 + 2x * 7) = 4x + 9 + -1x (-35 + 14x) = 4x + 9 + -1x Reorder the terms: -35 + 14x = 9 + 4x + -1x Combine like terms: 4x + -1x = 3x -35 + 14x = 9 + 3x Solving -35 + 14x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 14x + -3x = 9 + 3x + -3x Combine like terms: 14x + -3x = 11x -35 + 11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 11x = 9 + 0 -35 + 11x = 9 Add '35' to each side of the equation. -35 + 35 + 11x = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 9 + 35 11x = 9 + 35 Combine like terms: 9 + 35 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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