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Simplifying 7x + -1(3x + 8) = 5x + -37 Reorder the terms: 7x + -1(8 + 3x) = 5x + -37 7x + (8 * -1 + 3x * -1) = 5x + -37 7x + (-8 + -3x) = 5x + -37 Reorder the terms: -8 + 7x + -3x = 5x + -37 Combine like terms: 7x + -3x = 4x -8 + 4x = 5x + -37 Reorder the terms: -8 + 4x = -37 + 5x Solving -8 + 4x = -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. -8 + 4x + -5x = -37 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = -37 + 0 -8 + -1x = -37 Add '8' to each side of the equation. -8 + 8 + -1x = -37 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -37 + 8 -1x = -37 + 8 Combine like terms: -37 + 8 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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