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Simplifying -2 + -1(3x + 3) = 4x + -5(x + -3) Reorder the terms: -2 + -1(3 + 3x) = 4x + -5(x + -3) -2 + (3 * -1 + 3x * -1) = 4x + -5(x + -3) -2 + (-3 + -3x) = 4x + -5(x + -3) Combine like terms: -2 + -3 = -5 -5 + -3x = 4x + -5(x + -3) Reorder the terms: -5 + -3x = 4x + -5(-3 + x) -5 + -3x = 4x + (-3 * -5 + x * -5) -5 + -3x = 4x + (15 + -5x) Reorder the terms: -5 + -3x = 15 + 4x + -5x Combine like terms: 4x + -5x = -1x -5 + -3x = 15 + -1x Solving -5 + -3x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + -3x + x = 15 + -1x + x Combine like terms: -3x + x = -2x -5 + -2x = 15 + -1x + x Combine like terms: -1x + x = 0 -5 + -2x = 15 + 0 -5 + -2x = 15 Add '5' to each side of the equation. -5 + 5 + -2x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 15 + 5 -2x = 15 + 5 Combine like terms: 15 + 5 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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