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Simplifying 9x + 3(x + -1) = 5 + -2(3x + 1) + 12 Reorder the terms: 9x + 3(-1 + x) = 5 + -2(3x + 1) + 12 9x + (-1 * 3 + x * 3) = 5 + -2(3x + 1) + 12 9x + (-3 + 3x) = 5 + -2(3x + 1) + 12 Reorder the terms: -3 + 9x + 3x = 5 + -2(3x + 1) + 12 Combine like terms: 9x + 3x = 12x -3 + 12x = 5 + -2(3x + 1) + 12 Reorder the terms: -3 + 12x = 5 + -2(1 + 3x) + 12 -3 + 12x = 5 + (1 * -2 + 3x * -2) + 12 -3 + 12x = 5 + (-2 + -6x) + 12 Reorder the terms: -3 + 12x = 5 + -2 + 12 + -6x Combine like terms: 5 + -2 = 3 -3 + 12x = 3 + 12 + -6x Combine like terms: 3 + 12 = 15 -3 + 12x = 15 + -6x Solving -3 + 12x = 15 + -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. -3 + 12x + 6x = 15 + -6x + 6x Combine like terms: 12x + 6x = 18x -3 + 18x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 18x = 15 + 0 -3 + 18x = 15 Add '3' to each side of the equation. -3 + 3 + 18x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 15 + 3 18x = 15 + 3 Combine like terms: 15 + 3 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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