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Simplifying 8x + -7 = 36 + -1(3x + -1) Reorder the terms: -7 + 8x = 36 + -1(3x + -1) Reorder the terms: -7 + 8x = 36 + -1(-1 + 3x) -7 + 8x = 36 + (-1 * -1 + 3x * -1) -7 + 8x = 36 + (1 + -3x) Combine like terms: 36 + 1 = 37 -7 + 8x = 37 + -3x Solving -7 + 8x = 37 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 8x + 3x = 37 + -3x + 3x Combine like terms: 8x + 3x = 11x -7 + 11x = 37 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 11x = 37 + 0 -7 + 11x = 37 Add '7' to each side of the equation. -7 + 7 + 11x = 37 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 37 + 7 11x = 37 + 7 Combine like terms: 37 + 7 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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