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Simplifying 4x + -1(7x + 8) = 6x + -35 Reorder the terms: 4x + -1(8 + 7x) = 6x + -35 4x + (8 * -1 + 7x * -1) = 6x + -35 4x + (-8 + -7x) = 6x + -35 Reorder the terms: -8 + 4x + -7x = 6x + -35 Combine like terms: 4x + -7x = -3x -8 + -3x = 6x + -35 Reorder the terms: -8 + -3x = -35 + 6x Solving -8 + -3x = -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. -8 + -3x + -6x = -35 + 6x + -6x Combine like terms: -3x + -6x = -9x -8 + -9x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -9x = -35 + 0 -8 + -9x = -35 Add '8' to each side of the equation. -8 + 8 + -9x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -35 + 8 -9x = -35 + 8 Combine like terms: -35 + 8 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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