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Simplifying 5(3 + -1x) = 6 + -7x (3 * 5 + -1x * 5) = 6 + -7x (15 + -5x) = 6 + -7x Solving 15 + -5x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + -5x + 7x = 6 + -7x + 7x Combine like terms: -5x + 7x = 2x 15 + 2x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 2x = 6 + 0 15 + 2x = 6 Add '-15' to each side of the equation. 15 + -15 + 2x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 6 + -15 2x = 6 + -15 Combine like terms: 6 + -15 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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