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