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Simplifying 6x + -10 = 3x + -5 + -3(x + -5) Reorder the terms: -10 + 6x = 3x + -5 + -3(x + -5) Reorder the terms: -10 + 6x = 3x + -5 + -3(-5 + x) -10 + 6x = 3x + -5 + (-5 * -3 + x * -3) -10 + 6x = 3x + -5 + (15 + -3x) Reorder the terms: -10 + 6x = -5 + 15 + 3x + -3x Combine like terms: -5 + 15 = 10 -10 + 6x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 6x = 10 + 0 -10 + 6x = 10 Solving -10 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 10 + 10 6x = 10 + 10 Combine like terms: 10 + 10 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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