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Simplifying 4x + -1(5x + 7) = 3x + -35 Reorder the terms: 4x + -1(7 + 5x) = 3x + -35 4x + (7 * -1 + 5x * -1) = 3x + -35 4x + (-7 + -5x) = 3x + -35 Reorder the terms: -7 + 4x + -5x = 3x + -35 Combine like terms: 4x + -5x = -1x -7 + -1x = 3x + -35 Reorder the terms: -7 + -1x = -35 + 3x Solving -7 + -1x = -35 + 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. -7 + -1x + -3x = -35 + 3x + -3x Combine like terms: -1x + -3x = -4x -7 + -4x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -4x = -35 + 0 -7 + -4x = -35 Add '7' to each side of the equation. -7 + 7 + -4x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -35 + 7 -4x = -35 + 7 Combine like terms: -35 + 7 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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