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Simplifying 2(2x + -5) = 2(3x + 2) Reorder the terms: 2(-5 + 2x) = 2(3x + 2) (-5 * 2 + 2x * 2) = 2(3x + 2) (-10 + 4x) = 2(3x + 2) Reorder the terms: -10 + 4x = 2(2 + 3x) -10 + 4x = (2 * 2 + 3x * 2) -10 + 4x = (4 + 6x) Solving -10 + 4x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = 4 + 0 -10 + -2x = 4 Add '10' to each side of the equation. -10 + 10 + -2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 4 + 10 -2x = 4 + 10 Combine like terms: 4 + 10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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