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Simplifying 2x + 3x + 10 = 7(6 + -1x) Reorder the terms: 10 + 2x + 3x = 7(6 + -1x) Combine like terms: 2x + 3x = 5x 10 + 5x = 7(6 + -1x) 10 + 5x = (6 * 7 + -1x * 7) 10 + 5x = (42 + -7x) Solving 10 + 5x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 5x + 7x = 42 + -7x + 7x Combine like terms: 5x + 7x = 12x 10 + 12x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 12x = 42 + 0 10 + 12x = 42 Add '-10' to each side of the equation. 10 + -10 + 12x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 42 + -10 12x = 42 + -10 Combine like terms: 42 + -10 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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