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Simplifying 2(3x + -5) + -2(x + 3) = 0 Reorder the terms: 2(-5 + 3x) + -2(x + 3) = 0 (-5 * 2 + 3x * 2) + -2(x + 3) = 0 (-10 + 6x) + -2(x + 3) = 0 Reorder the terms: -10 + 6x + -2(3 + x) = 0 -10 + 6x + (3 * -2 + x * -2) = 0 -10 + 6x + (-6 + -2x) = 0 Reorder the terms: -10 + -6 + 6x + -2x = 0 Combine like terms: -10 + -6 = -16 -16 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -16 + 4x = 0 Solving -16 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 0 + 16 4x = 0 + 16 Combine like terms: 0 + 16 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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