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Simplifying 2(2x + -3) + -3(3x + -2) + -5 = 3x + 3 Reorder the terms: 2(-3 + 2x) + -3(3x + -2) + -5 = 3x + 3 (-3 * 2 + 2x * 2) + -3(3x + -2) + -5 = 3x + 3 (-6 + 4x) + -3(3x + -2) + -5 = 3x + 3 Reorder the terms: -6 + 4x + -3(-2 + 3x) + -5 = 3x + 3 -6 + 4x + (-2 * -3 + 3x * -3) + -5 = 3x + 3 -6 + 4x + (6 + -9x) + -5 = 3x + 3 Reorder the terms: -6 + 6 + -5 + 4x + -9x = 3x + 3 Combine like terms: -6 + 6 = 0 0 + -5 + 4x + -9x = 3x + 3 -5 + 4x + -9x = 3x + 3 Combine like terms: 4x + -9x = -5x -5 + -5x = 3x + 3 Reorder the terms: -5 + -5x = 3 + 3x Solving -5 + -5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -5x + -3x = 3 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = 3 + 0 -5 + -8x = 3 Add '5' to each side of the equation. -5 + 5 + -8x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 3 + 5 -8x = 3 + 5 Combine like terms: 3 + 5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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