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Simplifying 3 + -5(2 + -3) + 7x = 8x + -3(2 + -2) Combine like terms: 2 + -3 = -1 3 + -5(-1) + 7x = 8x + -3(2 + -2) Multiply -5 * -1 3 + 5 + 7x = 8x + -3(2 + -2) Combine like terms: 3 + 5 = 8 8 + 7x = 8x + -3(2 + -2) Combine like terms: 2 + -2 = 0 8 + 7x = 8x + -3(0) Multiply -3 * 0 8 + 7x = 8x + 0 Anything times zero is zero. 8 + 7x = 8x + 0 Reorder the terms: 8 + 7x = 0 + 8x Remove the zero: 8 + 7x = 8x Solving 8 + 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x 8 + -1x = 8x + -8x Combine like terms: 8x + -8x = 0 8 + -1x = 0 Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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