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Simplifying 5x + -7x + 8 = 3 + -3(x + -2) Reorder the terms: 8 + 5x + -7x = 3 + -3(x + -2) Combine like terms: 5x + -7x = -2x 8 + -2x = 3 + -3(x + -2) Reorder the terms: 8 + -2x = 3 + -3(-2 + x) 8 + -2x = 3 + (-2 * -3 + x * -3) 8 + -2x = 3 + (6 + -3x) Combine like terms: 3 + 6 = 9 8 + -2x = 9 + -3x Solving 8 + -2x = 9 + -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. 8 + -2x + 3x = 9 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = 9 + 0 8 + 1x = 9 Add '-8' to each side of the equation. 8 + -8 + 1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 9 + -8 1x = 9 + -8 Combine like terms: 9 + -8 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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