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Simplifying 2(2x + -2) + 3(x + 5) = 2x + -2 Reorder the terms: 2(-2 + 2x) + 3(x + 5) = 2x + -2 (-2 * 2 + 2x * 2) + 3(x + 5) = 2x + -2 (-4 + 4x) + 3(x + 5) = 2x + -2 Reorder the terms: -4 + 4x + 3(5 + x) = 2x + -2 -4 + 4x + (5 * 3 + x * 3) = 2x + -2 -4 + 4x + (15 + 3x) = 2x + -2 Reorder the terms: -4 + 15 + 4x + 3x = 2x + -2 Combine like terms: -4 + 15 = 11 11 + 4x + 3x = 2x + -2 Combine like terms: 4x + 3x = 7x 11 + 7x = 2x + -2 Reorder the terms: 11 + 7x = -2 + 2x Solving 11 + 7x = -2 + 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. 11 + 7x + -2x = -2 + 2x + -2x Combine like terms: 7x + -2x = 5x 11 + 5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 5x = -2 + 0 11 + 5x = -2 Add '-11' to each side of the equation. 11 + -11 + 5x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = -2 + -11 5x = -2 + -11 Combine like terms: -2 + -11 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6
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