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Simplifying (2x + -3) * 2 + -1(x + 5) * 2 = -23 Reorder the terms: (-3 + 2x) * 2 + -1(x + 5) * 2 = -23 Reorder the terms for easier multiplication: 2(-3 + 2x) + -1(x + 5) * 2 = -23 (-3 * 2 + 2x * 2) + -1(x + 5) * 2 = -23 (-6 + 4x) + -1(x + 5) * 2 = -23 Reorder the terms: -6 + 4x + -1(5 + x) * 2 = -23 Reorder the terms for easier multiplication: -6 + 4x + -1 * 2(5 + x) = -23 Multiply -1 * 2 -6 + 4x + -2(5 + x) = -23 -6 + 4x + (5 * -2 + x * -2) = -23 -6 + 4x + (-10 + -2x) = -23 Reorder the terms: -6 + -10 + 4x + -2x = -23 Combine like terms: -6 + -10 = -16 -16 + 4x + -2x = -23 Combine like terms: 4x + -2x = 2x -16 + 2x = -23 Solving -16 + 2x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = -23 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -23 + 16 2x = -23 + 16 Combine like terms: -23 + 16 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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