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Simplifying 8x + -1(2x + 7) = 7x + -37 Reorder the terms: 8x + -1(7 + 2x) = 7x + -37 8x + (7 * -1 + 2x * -1) = 7x + -37 8x + (-7 + -2x) = 7x + -37 Reorder the terms: -7 + 8x + -2x = 7x + -37 Combine like terms: 8x + -2x = 6x -7 + 6x = 7x + -37 Reorder the terms: -7 + 6x = -37 + 7x Solving -7 + 6x = -37 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 6x + -7x = -37 + 7x + -7x Combine like terms: 6x + -7x = -1x -7 + -1x = -37 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -1x = -37 + 0 -7 + -1x = -37 Add '7' to each side of the equation. -7 + 7 + -1x = -37 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -37 + 7 -1x = -37 + 7 Combine like terms: -37 + 7 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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