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Simplifying 2(4 + -2x) + -3(x + 5) = -5x + -2 (4 * 2 + -2x * 2) + -3(x + 5) = -5x + -2 (8 + -4x) + -3(x + 5) = -5x + -2 Reorder the terms: 8 + -4x + -3(5 + x) = -5x + -2 8 + -4x + (5 * -3 + x * -3) = -5x + -2 8 + -4x + (-15 + -3x) = -5x + -2 Reorder the terms: 8 + -15 + -4x + -3x = -5x + -2 Combine like terms: 8 + -15 = -7 -7 + -4x + -3x = -5x + -2 Combine like terms: -4x + -3x = -7x -7 + -7x = -5x + -2 Reorder the terms: -7 + -7x = -2 + -5x Solving -7 + -7x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + -7x + 5x = -2 + -5x + 5x Combine like terms: -7x + 5x = -2x -7 + -2x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + -2x = -2 + 0 -7 + -2x = -2 Add '7' to each side of the equation. -7 + 7 + -2x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -2 + 7 -2x = -2 + 7 Combine like terms: -2 + 7 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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