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Simplifying 2(3x + -5) = 3x + 10 + -1x Reorder the terms: 2(-5 + 3x) = 3x + 10 + -1x (-5 * 2 + 3x * 2) = 3x + 10 + -1x (-10 + 6x) = 3x + 10 + -1x Reorder the terms: -10 + 6x = 10 + 3x + -1x Combine like terms: 3x + -1x = 2x -10 + 6x = 10 + 2x Solving -10 + 6x = 10 + 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 = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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