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Simplifying 6(5 + -3x) = 7(10 + -2x) (5 * 6 + -3x * 6) = 7(10 + -2x) (30 + -18x) = 7(10 + -2x) 30 + -18x = (10 * 7 + -2x * 7) 30 + -18x = (70 + -14x) Solving 30 + -18x = 70 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 30 + -18x + 14x = 70 + -14x + 14x Combine like terms: -18x + 14x = -4x 30 + -4x = 70 + -14x + 14x Combine like terms: -14x + 14x = 0 30 + -4x = 70 + 0 30 + -4x = 70 Add '-30' to each side of the equation. 30 + -30 + -4x = 70 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 70 + -30 -4x = 70 + -30 Combine like terms: 70 + -30 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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