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Simplifying -3(-1x + 8) + 5(2x + 3) = x + 9 + 4x Reorder the terms: -3(8 + -1x) + 5(2x + 3) = x + 9 + 4x (8 * -3 + -1x * -3) + 5(2x + 3) = x + 9 + 4x (-24 + 3x) + 5(2x + 3) = x + 9 + 4x Reorder the terms: -24 + 3x + 5(3 + 2x) = x + 9 + 4x -24 + 3x + (3 * 5 + 2x * 5) = x + 9 + 4x -24 + 3x + (15 + 10x) = x + 9 + 4x Reorder the terms: -24 + 15 + 3x + 10x = x + 9 + 4x Combine like terms: -24 + 15 = -9 -9 + 3x + 10x = x + 9 + 4x Combine like terms: 3x + 10x = 13x -9 + 13x = x + 9 + 4x Reorder the terms: -9 + 13x = 9 + x + 4x Combine like terms: x + 4x = 5x -9 + 13x = 9 + 5x Solving -9 + 13x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 13x + -5x = 9 + 5x + -5x Combine like terms: 13x + -5x = 8x -9 + 8x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 8x = 9 + 0 -9 + 8x = 9 Add '9' to each side of the equation. -9 + 9 + 8x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 9 + 9 8x = 9 + 9 Combine like terms: 9 + 9 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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