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Simplifying 2(2x + -5) = 3(2x + -8) Reorder the terms: 2(-5 + 2x) = 3(2x + -8) (-5 * 2 + 2x * 2) = 3(2x + -8) (-10 + 4x) = 3(2x + -8) Reorder the terms: -10 + 4x = 3(-8 + 2x) -10 + 4x = (-8 * 3 + 2x * 3) -10 + 4x = (-24 + 6x) Solving -10 + 4x = -24 + 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 = -24 + 6x + -6x Combine like terms: 4x + -6x = -2x -10 + -2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -2x = -24 + 0 -10 + -2x = -24 Add '10' to each side of the equation. -10 + 10 + -2x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -24 + 10 -2x = -24 + 10 Combine like terms: -24 + 10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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