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Simplifying 7x + (8x + 7) + -1(3x + -8) = x + 37 Reorder the terms: 7x + (7 + 8x) + -1(3x + -8) = x + 37 Remove parenthesis around (7 + 8x) 7x + 7 + 8x + -1(3x + -8) = x + 37 Reorder the terms: 7x + 7 + 8x + -1(-8 + 3x) = x + 37 7x + 7 + 8x + (-8 * -1 + 3x * -1) = x + 37 7x + 7 + 8x + (8 + -3x) = x + 37 Reorder the terms: 7 + 8 + 7x + 8x + -3x = x + 37 Combine like terms: 7 + 8 = 15 15 + 7x + 8x + -3x = x + 37 Combine like terms: 7x + 8x = 15x 15 + 15x + -3x = x + 37 Combine like terms: 15x + -3x = 12x 15 + 12x = x + 37 Reorder the terms: 15 + 12x = 37 + x Solving 15 + 12x = 37 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 12x + -1x = 37 + x + -1x Combine like terms: 12x + -1x = 11x 15 + 11x = 37 + x + -1x Combine like terms: x + -1x = 0 15 + 11x = 37 + 0 15 + 11x = 37 Add '-15' to each side of the equation. 15 + -15 + 11x = 37 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 37 + -15 11x = 37 + -15 Combine like terms: 37 + -15 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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