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Simplifying 5x + -1(3x + 7) = 6x + -35 Reorder the terms: 5x + -1(7 + 3x) = 6x + -35 5x + (7 * -1 + 3x * -1) = 6x + -35 5x + (-7 + -3x) = 6x + -35 Reorder the terms: -7 + 5x + -3x = 6x + -35 Combine like terms: 5x + -3x = 2x -7 + 2x = 6x + -35 Reorder the terms: -7 + 2x = -35 + 6x Solving -7 + 2x = -35 + 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. -7 + 2x + -6x = -35 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = -35 + 6x + -6x Combine like terms: 6x + -6x = 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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