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Simplifying -3(2x + 1) = 3(x + 4) + 3 Reorder the terms: -3(1 + 2x) = 3(x + 4) + 3 (1 * -3 + 2x * -3) = 3(x + 4) + 3 (-3 + -6x) = 3(x + 4) + 3 Reorder the terms: -3 + -6x = 3(4 + x) + 3 -3 + -6x = (4 * 3 + x * 3) + 3 -3 + -6x = (12 + 3x) + 3 Reorder the terms: -3 + -6x = 12 + 3 + 3x Combine like terms: 12 + 3 = 15 -3 + -6x = 15 + 3x Solving -3 + -6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -6x + -3x = 15 + 3x + -3x Combine like terms: -6x + -3x = -9x -3 + -9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -9x = 15 + 0 -3 + -9x = 15 Add '3' to each side of the equation. -3 + 3 + -9x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 15 + 3 -9x = 15 + 3 Combine like terms: 15 + 3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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