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Simplifying 2(6x + -3) + -1 = 9(3x + 2) + -10 Reorder the terms: 2(-3 + 6x) + -1 = 9(3x + 2) + -10 (-3 * 2 + 6x * 2) + -1 = 9(3x + 2) + -10 (-6 + 12x) + -1 = 9(3x + 2) + -10 Reorder the terms: -6 + -1 + 12x = 9(3x + 2) + -10 Combine like terms: -6 + -1 = -7 -7 + 12x = 9(3x + 2) + -10 Reorder the terms: -7 + 12x = 9(2 + 3x) + -10 -7 + 12x = (2 * 9 + 3x * 9) + -10 -7 + 12x = (18 + 27x) + -10 Reorder the terms: -7 + 12x = 18 + -10 + 27x Combine like terms: 18 + -10 = 8 -7 + 12x = 8 + 27x Solving -7 + 12x = 8 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -7 + 12x + -27x = 8 + 27x + -27x Combine like terms: 12x + -27x = -15x -7 + -15x = 8 + 27x + -27x Combine like terms: 27x + -27x = 0 -7 + -15x = 8 + 0 -7 + -15x = 8 Add '7' to each side of the equation. -7 + 7 + -15x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -15x = 8 + 7 -15x = 8 + 7 Combine like terms: 8 + 7 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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