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Simplifying 6x + -5(2x + 7) = 4x + -35 Reorder the terms: 6x + -5(7 + 2x) = 4x + -35 6x + (7 * -5 + 2x * -5) = 4x + -35 6x + (-35 + -10x) = 4x + -35 Reorder the terms: -35 + 6x + -10x = 4x + -35 Combine like terms: 6x + -10x = -4x -35 + -4x = 4x + -35 Reorder the terms: -35 + -4x = -35 + 4x Add '35' to each side of the equation. -35 + 35 + -4x = -35 + 35 + 4x Combine like terms: -35 + 35 = 0 0 + -4x = -35 + 35 + 4x -4x = -35 + 35 + 4x Combine like terms: -35 + 35 = 0 -4x = 0 + 4x -4x = 4x Solving -4x = 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. -4x + -4x = 4x + -4x Combine like terms: -4x + -4x = -8x -8x = 4x + -4x Combine like terms: 4x + -4x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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