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Simplifying -7(x + -3) = 5(-6 + 2x) Reorder the terms: -7(-3 + x) = 5(-6 + 2x) (-3 * -7 + x * -7) = 5(-6 + 2x) (21 + -7x) = 5(-6 + 2x) 21 + -7x = (-6 * 5 + 2x * 5) 21 + -7x = (-30 + 10x) Solving 21 + -7x = -30 + 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 + -7x + -10x = -30 + 10x + -10x Combine like terms: -7x + -10x = -17x 21 + -17x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -17x = -30 + 0 21 + -17x = -30 Add '-21' to each side of the equation. 21 + -21 + -17x = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -17x = -30 + -21 -17x = -30 + -21 Combine like terms: -30 + -21 = -51 -17x = -51 Divide each side by '-17'. x = 3 Simplifying x = 3
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