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Simplifying 4x + -1(3x + 7) = 8x + -35 Reorder the terms: 4x + -1(7 + 3x) = 8x + -35 4x + (7 * -1 + 3x * -1) = 8x + -35 4x + (-7 + -3x) = 8x + -35 Reorder the terms: -7 + 4x + -3x = 8x + -35 Combine like terms: 4x + -3x = 1x -7 + 1x = 8x + -35 Reorder the terms: -7 + 1x = -35 + 8x Solving -7 + 1x = -35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 1x + -8x = -35 + 8x + -8x Combine like terms: 1x + -8x = -7x -7 + -7x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -7x = -35 + 0 -7 + -7x = -35 Add '7' to each side of the equation. -7 + 7 + -7x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -35 + 7 -7x = -35 + 7 Combine like terms: -35 + 7 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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