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Simplifying -2(-2x + 3) + -3x + 1 = -4x + -15 Reorder the terms: -2(3 + -2x) + -3x + 1 = -4x + -15 (3 * -2 + -2x * -2) + -3x + 1 = -4x + -15 (-6 + 4x) + -3x + 1 = -4x + -15 Reorder the terms: -6 + 1 + 4x + -3x = -4x + -15 Combine like terms: -6 + 1 = -5 -5 + 4x + -3x = -4x + -15 Combine like terms: 4x + -3x = 1x -5 + 1x = -4x + -15 Reorder the terms: -5 + 1x = -15 + -4x Solving -5 + 1x = -15 + -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 + 1x + 4x = -15 + -4x + 4x Combine like terms: 1x + 4x = 5x -5 + 5x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 5x = -15 + 0 -5 + 5x = -15 Add '5' to each side of the equation. -5 + 5 + 5x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -15 + 5 5x = -15 + 5 Combine like terms: -15 + 5 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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