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Simplifying 2(3x + -5) = 2x + 7 Reorder the terms: 2(-5 + 3x) = 2x + 7 (-5 * 2 + 3x * 2) = 2x + 7 (-10 + 6x) = 2x + 7 Reorder the terms: -10 + 6x = 7 + 2x Solving -10 + 6x = 7 + 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. -10 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = 7 + 0 -10 + 4x = 7 Add '10' to each side of the equation. -10 + 10 + 4x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 7 + 10 4x = 7 + 10 Combine like terms: 7 + 10 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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