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Simplifying 2(3x + 4) = 5x + -10 + 7x Reorder the terms: 2(4 + 3x) = 5x + -10 + 7x (4 * 2 + 3x * 2) = 5x + -10 + 7x (8 + 6x) = 5x + -10 + 7x Reorder the terms: 8 + 6x = -10 + 5x + 7x Combine like terms: 5x + 7x = 12x 8 + 6x = -10 + 12x Solving 8 + 6x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 6x + -12x = -10 + 12x + -12x Combine like terms: 6x + -12x = -6x 8 + -6x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -6x = -10 + 0 8 + -6x = -10 Add '-8' to each side of the equation. 8 + -8 + -6x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -10 + -8 -6x = -10 + -8 Combine like terms: -10 + -8 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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