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Simplifying 3x + -1(5x + 9) = 5x + -37 Reorder the terms: 3x + -1(9 + 5x) = 5x + -37 3x + (9 * -1 + 5x * -1) = 5x + -37 3x + (-9 + -5x) = 5x + -37 Reorder the terms: -9 + 3x + -5x = 5x + -37 Combine like terms: 3x + -5x = -2x -9 + -2x = 5x + -37 Reorder the terms: -9 + -2x = -37 + 5x Solving -9 + -2x = -37 + 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. -9 + -2x + -5x = -37 + 5x + -5x Combine like terms: -2x + -5x = -7x -9 + -7x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -7x = -37 + 0 -9 + -7x = -37 Add '9' to each side of the equation. -9 + 9 + -7x = -37 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -37 + 9 -7x = -37 + 9 Combine like terms: -37 + 9 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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