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Simplifying -3(4x + 3) + -3(2 + -1x) = 2(2x + 3) + -5 Reorder the terms: -3(3 + 4x) + -3(2 + -1x) = 2(2x + 3) + -5 (3 * -3 + 4x * -3) + -3(2 + -1x) = 2(2x + 3) + -5 (-9 + -12x) + -3(2 + -1x) = 2(2x + 3) + -5 -9 + -12x + (2 * -3 + -1x * -3) = 2(2x + 3) + -5 -9 + -12x + (-6 + 3x) = 2(2x + 3) + -5 Reorder the terms: -9 + -6 + -12x + 3x = 2(2x + 3) + -5 Combine like terms: -9 + -6 = -15 -15 + -12x + 3x = 2(2x + 3) + -5 Combine like terms: -12x + 3x = -9x -15 + -9x = 2(2x + 3) + -5 Reorder the terms: -15 + -9x = 2(3 + 2x) + -5 -15 + -9x = (3 * 2 + 2x * 2) + -5 -15 + -9x = (6 + 4x) + -5 Reorder the terms: -15 + -9x = 6 + -5 + 4x Combine like terms: 6 + -5 = 1 -15 + -9x = 1 + 4x Solving -15 + -9x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + -9x + -4x = 1 + 4x + -4x Combine like terms: -9x + -4x = -13x -15 + -13x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -13x = 1 + 0 -15 + -13x = 1 Add '15' to each side of the equation. -15 + 15 + -13x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = 1 + 15 -13x = 1 + 15 Combine like terms: 1 + 15 = 16 -13x = 16 Divide each side by '-13'. x = -1.230769231 Simplifying x = -1.230769231
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