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Simplifying 7x + -1(4x + 3) = 4x + -35 Reorder the terms: 7x + -1(3 + 4x) = 4x + -35 7x + (3 * -1 + 4x * -1) = 4x + -35 7x + (-3 + -4x) = 4x + -35 Reorder the terms: -3 + 7x + -4x = 4x + -35 Combine like terms: 7x + -4x = 3x -3 + 3x = 4x + -35 Reorder the terms: -3 + 3x = -35 + 4x Solving -3 + 3x = -35 + 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. -3 + 3x + -4x = -35 + 4x + -4x Combine like terms: 3x + -4x = -1x -3 + -1x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -1x = -35 + 0 -3 + -1x = -35 Add '3' to each side of the equation. -3 + 3 + -1x = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -35 + 3 -1x = -35 + 3 Combine like terms: -35 + 3 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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