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Simplifying 5x + -3(10 + -2x) = 9(2x + 6) 5x + (10 * -3 + -2x * -3) = 9(2x + 6) 5x + (-30 + 6x) = 9(2x + 6) Reorder the terms: -30 + 5x + 6x = 9(2x + 6) Combine like terms: 5x + 6x = 11x -30 + 11x = 9(2x + 6) Reorder the terms: -30 + 11x = 9(6 + 2x) -30 + 11x = (6 * 9 + 2x * 9) -30 + 11x = (54 + 18x) Solving -30 + 11x = 54 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -30 + 11x + -18x = 54 + 18x + -18x Combine like terms: 11x + -18x = -7x -30 + -7x = 54 + 18x + -18x Combine like terms: 18x + -18x = 0 -30 + -7x = 54 + 0 -30 + -7x = 54 Add '30' to each side of the equation. -30 + 30 + -7x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = 54 + 30 -7x = 54 + 30 Combine like terms: 54 + 30 = 84 -7x = 84 Divide each side by '-7'. x = -12 Simplifying x = -12
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