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Simplifying 2(6x + -3) = 9x + 7(1 + 3x) Reorder the terms: 2(-3 + 6x) = 9x + 7(1 + 3x) (-3 * 2 + 6x * 2) = 9x + 7(1 + 3x) (-6 + 12x) = 9x + 7(1 + 3x) -6 + 12x = 9x + (1 * 7 + 3x * 7) -6 + 12x = 9x + (7 + 21x) Reorder the terms: -6 + 12x = 7 + 9x + 21x Combine like terms: 9x + 21x = 30x -6 + 12x = 7 + 30x Solving -6 + 12x = 7 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6 + 12x + -30x = 7 + 30x + -30x Combine like terms: 12x + -30x = -18x -6 + -18x = 7 + 30x + -30x Combine like terms: 30x + -30x = 0 -6 + -18x = 7 + 0 -6 + -18x = 7 Add '6' to each side of the equation. -6 + 6 + -18x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 7 + 6 -18x = 7 + 6 Combine like terms: 7 + 6 = 13 -18x = 13 Divide each side by '-18'. x = -0.7222222222 Simplifying x = -0.7222222222
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