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Simplifying -2(2x + -5) + 2x = 3 + 2(2x + -4) Reorder the terms: -2(-5 + 2x) + 2x = 3 + 2(2x + -4) (-5 * -2 + 2x * -2) + 2x = 3 + 2(2x + -4) (10 + -4x) + 2x = 3 + 2(2x + -4) Combine like terms: -4x + 2x = -2x 10 + -2x = 3 + 2(2x + -4) Reorder the terms: 10 + -2x = 3 + 2(-4 + 2x) 10 + -2x = 3 + (-4 * 2 + 2x * 2) 10 + -2x = 3 + (-8 + 4x) Combine like terms: 3 + -8 = -5 10 + -2x = -5 + 4x Solving 10 + -2x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -2x + -4x = -5 + 4x + -4x Combine like terms: -2x + -4x = -6x 10 + -6x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -6x = -5 + 0 10 + -6x = -5 Add '-10' to each side of the equation. 10 + -10 + -6x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -5 + -10 -6x = -5 + -10 Combine like terms: -5 + -10 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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