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Simplifying 6x + -5(7 + 4x) = 21 + -7x 6x + (7 * -5 + 4x * -5) = 21 + -7x 6x + (-35 + -20x) = 21 + -7x Reorder the terms: -35 + 6x + -20x = 21 + -7x Combine like terms: 6x + -20x = -14x -35 + -14x = 21 + -7x Solving -35 + -14x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + -14x + 7x = 21 + -7x + 7x Combine like terms: -14x + 7x = -7x -35 + -7x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + -7x = 21 + 0 -35 + -7x = 21 Add '35' to each side of the equation. -35 + 35 + -7x = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 21 + 35 -7x = 21 + 35 Combine like terms: 21 + 35 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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