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Simplifying -3(x + 2) = 5x + -8 + 4(2x + 5) Reorder the terms: -3(2 + x) = 5x + -8 + 4(2x + 5) (2 * -3 + x * -3) = 5x + -8 + 4(2x + 5) (-6 + -3x) = 5x + -8 + 4(2x + 5) Reorder the terms: -6 + -3x = 5x + -8 + 4(5 + 2x) -6 + -3x = 5x + -8 + (5 * 4 + 2x * 4) -6 + -3x = 5x + -8 + (20 + 8x) Reorder the terms: -6 + -3x = -8 + 20 + 5x + 8x Combine like terms: -8 + 20 = 12 -6 + -3x = 12 + 5x + 8x Combine like terms: 5x + 8x = 13x -6 + -3x = 12 + 13x Solving -6 + -3x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + -3x + -13x = 12 + 13x + -13x Combine like terms: -3x + -13x = -16x -6 + -16x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -16x = 12 + 0 -6 + -16x = 12 Add '6' to each side of the equation. -6 + 6 + -16x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = 12 + 6 -16x = 12 + 6 Combine like terms: 12 + 6 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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