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Simplifying 7x + -6(3x + 5) = 5(3 + -1x) Reorder the terms: 7x + -6(5 + 3x) = 5(3 + -1x) 7x + (5 * -6 + 3x * -6) = 5(3 + -1x) 7x + (-30 + -18x) = 5(3 + -1x) Reorder the terms: -30 + 7x + -18x = 5(3 + -1x) Combine like terms: 7x + -18x = -11x -30 + -11x = 5(3 + -1x) -30 + -11x = (3 * 5 + -1x * 5) -30 + -11x = (15 + -5x) Solving -30 + -11x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + -11x + 5x = 15 + -5x + 5x Combine like terms: -11x + 5x = -6x -30 + -6x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + -6x = 15 + 0 -30 + -6x = 15 Add '30' to each side of the equation. -30 + 30 + -6x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = 15 + 30 -6x = 15 + 30 Combine like terms: 15 + 30 = 45 -6x = 45 Divide each side by '-6'. x = -7.5 Simplifying x = -7.5
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