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Simplifying 3x + 6 + -6x + 2 = -6 + 5(x + 10) Reorder the terms: 6 + 2 + 3x + -6x = -6 + 5(x + 10) Combine like terms: 6 + 2 = 8 8 + 3x + -6x = -6 + 5(x + 10) Combine like terms: 3x + -6x = -3x 8 + -3x = -6 + 5(x + 10) Reorder the terms: 8 + -3x = -6 + 5(10 + x) 8 + -3x = -6 + (10 * 5 + x * 5) 8 + -3x = -6 + (50 + 5x) Combine like terms: -6 + 50 = 44 8 + -3x = 44 + 5x Solving 8 + -3x = 44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -3x + -5x = 44 + 5x + -5x Combine like terms: -3x + -5x = -8x 8 + -8x = 44 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -8x = 44 + 0 8 + -8x = 44 Add '-8' to each side of the equation. 8 + -8 + -8x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 44 + -8 -8x = 44 + -8 Combine like terms: 44 + -8 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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