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Simplifying 3(3x + -1) + 6(5 + -1x) = 12x + -3(1 + 2x) + 30 Reorder the terms: 3(-1 + 3x) + 6(5 + -1x) = 12x + -3(1 + 2x) + 30 (-1 * 3 + 3x * 3) + 6(5 + -1x) = 12x + -3(1 + 2x) + 30 (-3 + 9x) + 6(5 + -1x) = 12x + -3(1 + 2x) + 30 -3 + 9x + (5 * 6 + -1x * 6) = 12x + -3(1 + 2x) + 30 -3 + 9x + (30 + -6x) = 12x + -3(1 + 2x) + 30 Reorder the terms: -3 + 30 + 9x + -6x = 12x + -3(1 + 2x) + 30 Combine like terms: -3 + 30 = 27 27 + 9x + -6x = 12x + -3(1 + 2x) + 30 Combine like terms: 9x + -6x = 3x 27 + 3x = 12x + -3(1 + 2x) + 30 27 + 3x = 12x + (1 * -3 + 2x * -3) + 30 27 + 3x = 12x + (-3 + -6x) + 30 Reorder the terms: 27 + 3x = -3 + 30 + 12x + -6x Combine like terms: -3 + 30 = 27 27 + 3x = 27 + 12x + -6x Combine like terms: 12x + -6x = 6x 27 + 3x = 27 + 6x Add '-27' to each side of the equation. 27 + -27 + 3x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 0 + 3x = 27 + -27 + 6x 3x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 3x = 0 + 6x 3x = 6x Solving 3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3x + -6x = 6x + -6x Combine like terms: 3x + -6x = -3x -3x = 6x + -6x Combine like terms: 6x + -6x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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