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Simplifying 6 + -3(x + -5) = 7 + -10x Reorder the terms: 6 + -3(-5 + x) = 7 + -10x 6 + (-5 * -3 + x * -3) = 7 + -10x 6 + (15 + -3x) = 7 + -10x Combine like terms: 6 + 15 = 21 21 + -3x = 7 + -10x Solving 21 + -3x = 7 + -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. 21 + -3x + 10x = 7 + -10x + 10x Combine like terms: -3x + 10x = 7x 21 + 7x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 21 + 7x = 7 + 0 21 + 7x = 7 Add '-21' to each side of the equation. 21 + -21 + 7x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 7 + -21 7x = 7 + -21 Combine like terms: 7 + -21 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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