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Simplifying -5(7x + -1x) + 3 = 5x + -32 Combine like terms: 7x + -1x = 6x -5(6x) + 3 = 5x + -32 Remove parenthesis around (6x) -5 * 6x + 3 = 5x + -32 Multiply -5 * 6 -30x + 3 = 5x + -32 Reorder the terms: 3 + -30x = 5x + -32 Reorder the terms: 3 + -30x = -32 + 5x Solving 3 + -30x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + -30x + -5x = -32 + 5x + -5x Combine like terms: -30x + -5x = -35x 3 + -35x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -35x = -32 + 0 3 + -35x = -32 Add '-3' to each side of the equation. 3 + -3 + -35x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -35x = -32 + -3 -35x = -32 + -3 Combine like terms: -32 + -3 = -35 -35x = -35 Divide each side by '-35'. x = 1 Simplifying x = 1
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