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Simplifying -5(x + 3) = 3x + -9 + 2(4x + 6) Reorder the terms: -5(3 + x) = 3x + -9 + 2(4x + 6) (3 * -5 + x * -5) = 3x + -9 + 2(4x + 6) (-15 + -5x) = 3x + -9 + 2(4x + 6) Reorder the terms: -15 + -5x = 3x + -9 + 2(6 + 4x) -15 + -5x = 3x + -9 + (6 * 2 + 4x * 2) -15 + -5x = 3x + -9 + (12 + 8x) Reorder the terms: -15 + -5x = -9 + 12 + 3x + 8x Combine like terms: -9 + 12 = 3 -15 + -5x = 3 + 3x + 8x Combine like terms: 3x + 8x = 11x -15 + -5x = 3 + 11x Solving -15 + -5x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -15 + -5x + -11x = 3 + 11x + -11x Combine like terms: -5x + -11x = -16x -15 + -16x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + -16x = 3 + 0 -15 + -16x = 3 Add '15' to each side of the equation. -15 + 15 + -16x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = 3 + 15 -16x = 3 + 15 Combine like terms: 3 + 15 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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