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Simplifying 4x + -7(x + 5) = 6x Reorder the terms: 4x + -7(5 + x) = 6x 4x + (5 * -7 + x * -7) = 6x 4x + (-35 + -7x) = 6x Reorder the terms: -35 + 4x + -7x = 6x Combine like terms: 4x + -7x = -3x -35 + -3x = 6x Solving -35 + -3x = 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. -35 + -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x -35 + -9x = 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -9x = 0 Add '35' to each side of the equation. -35 + 35 + -9x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = 0 + 35 -9x = 0 + 35 Combine like terms: 0 + 35 = 35 -9x = 35 Divide each side by '-9'. x = -3.888888889 Simplifying x = -3.888888889
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