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Simplifying 2(x + -5) + 2 = 3x + -5x + -3 Reorder the terms: 2(-5 + x) + 2 = 3x + -5x + -3 (-5 * 2 + x * 2) + 2 = 3x + -5x + -3 (-10 + 2x) + 2 = 3x + -5x + -3 Reorder the terms: -10 + 2 + 2x = 3x + -5x + -3 Combine like terms: -10 + 2 = -8 -8 + 2x = 3x + -5x + -3 Reorder the terms: -8 + 2x = -3 + 3x + -5x Combine like terms: 3x + -5x = -2x -8 + 2x = -3 + -2x Solving -8 + 2x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 2x + 2x = -3 + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = -3 + 0 -8 + 4x = -3 Add '8' to each side of the equation. -8 + 8 + 4x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -3 + 8 4x = -3 + 8 Combine like terms: -3 + 8 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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