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Simplifying 3(3x + 2) + 6x = 10(x + -5) Reorder the terms: 3(2 + 3x) + 6x = 10(x + -5) (2 * 3 + 3x * 3) + 6x = 10(x + -5) (6 + 9x) + 6x = 10(x + -5) Combine like terms: 9x + 6x = 15x 6 + 15x = 10(x + -5) Reorder the terms: 6 + 15x = 10(-5 + x) 6 + 15x = (-5 * 10 + x * 10) 6 + 15x = (-50 + 10x) Solving 6 + 15x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 15x + -10x = -50 + 10x + -10x Combine like terms: 15x + -10x = 5x 6 + 5x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 5x = -50 + 0 6 + 5x = -50 Add '-6' to each side of the equation. 6 + -6 + 5x = -50 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -50 + -6 5x = -50 + -6 Combine like terms: -50 + -6 = -56 5x = -56 Divide each side by '5'. x = -11.2 Simplifying x = -11.2
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