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Simplifying -6(x + -5) + 3x = 6 + -10(-3 + x) Reorder the terms: -6(-5 + x) + 3x = 6 + -10(-3 + x) (-5 * -6 + x * -6) + 3x = 6 + -10(-3 + x) (30 + -6x) + 3x = 6 + -10(-3 + x) Combine like terms: -6x + 3x = -3x 30 + -3x = 6 + -10(-3 + x) 30 + -3x = 6 + (-3 * -10 + x * -10) 30 + -3x = 6 + (30 + -10x) Combine like terms: 6 + 30 = 36 30 + -3x = 36 + -10x Solving 30 + -3x = 36 + -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. 30 + -3x + 10x = 36 + -10x + 10x Combine like terms: -3x + 10x = 7x 30 + 7x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 7x = 36 + 0 30 + 7x = 36 Add '-30' to each side of the equation. 30 + -30 + 7x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 36 + -30 7x = 36 + -30 Combine like terms: 36 + -30 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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