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Simplifying 2(x + -3) + 3(2x + -3) = 3x + -3 Reorder the terms: 2(-3 + x) + 3(2x + -3) = 3x + -3 (-3 * 2 + x * 2) + 3(2x + -3) = 3x + -3 (-6 + 2x) + 3(2x + -3) = 3x + -3 Reorder the terms: -6 + 2x + 3(-3 + 2x) = 3x + -3 -6 + 2x + (-3 * 3 + 2x * 3) = 3x + -3 -6 + 2x + (-9 + 6x) = 3x + -3 Reorder the terms: -6 + -9 + 2x + 6x = 3x + -3 Combine like terms: -6 + -9 = -15 -15 + 2x + 6x = 3x + -3 Combine like terms: 2x + 6x = 8x -15 + 8x = 3x + -3 Reorder the terms: -15 + 8x = -3 + 3x Solving -15 + 8x = -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. -15 + 8x + -3x = -3 + 3x + -3x Combine like terms: 8x + -3x = 5x -15 + 5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 5x = -3 + 0 -15 + 5x = -3 Add '15' to each side of the equation. -15 + 15 + 5x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -3 + 15 5x = -3 + 15 Combine like terms: -3 + 15 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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