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Simplifying 6x + 4(2x + 6) = 5x + -10 Reorder the terms: 6x + 4(6 + 2x) = 5x + -10 6x + (6 * 4 + 2x * 4) = 5x + -10 6x + (24 + 8x) = 5x + -10 Reorder the terms: 24 + 6x + 8x = 5x + -10 Combine like terms: 6x + 8x = 14x 24 + 14x = 5x + -10 Reorder the terms: 24 + 14x = -10 + 5x Solving 24 + 14x = -10 + 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. 24 + 14x + -5x = -10 + 5x + -5x Combine like terms: 14x + -5x = 9x 24 + 9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 9x = -10 + 0 24 + 9x = -10 Add '-24' to each side of the equation. 24 + -24 + 9x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -10 + -24 9x = -10 + -24 Combine like terms: -10 + -24 = -34 9x = -34 Divide each side by '9'. x = -3.777777778 Simplifying x = -3.777777778
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