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Simplifying 2x + 3x + 8 = -3x + 64 Reorder the terms: 8 + 2x + 3x = -3x + 64 Combine like terms: 2x + 3x = 5x 8 + 5x = -3x + 64 Reorder the terms: 8 + 5x = 64 + -3x Solving 8 + 5x = 64 + -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 + 5x + 3x = 64 + -3x + 3x Combine like terms: 5x + 3x = 8x 8 + 8x = 64 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 8x = 64 + 0 8 + 8x = 64 Add '-8' to each side of the equation. 8 + -8 + 8x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 64 + -8 8x = 64 + -8 Combine like terms: 64 + -8 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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