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Simplifying -6(x + 2) + 3(x + 3) = 5x Reorder the terms: -6(2 + x) + 3(x + 3) = 5x (2 * -6 + x * -6) + 3(x + 3) = 5x (-12 + -6x) + 3(x + 3) = 5x Reorder the terms: -12 + -6x + 3(3 + x) = 5x -12 + -6x + (3 * 3 + x * 3) = 5x -12 + -6x + (9 + 3x) = 5x Reorder the terms: -12 + 9 + -6x + 3x = 5x Combine like terms: -12 + 9 = -3 -3 + -6x + 3x = 5x Combine like terms: -6x + 3x = -3x -3 + -3x = 5x Solving -3 + -3x = 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. -3 + -3x + -5x = 5x + -5x Combine like terms: -3x + -5x = -8x -3 + -8x = 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -8x = 0 Add '3' to each side of the equation. -3 + 3 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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