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