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Simplifying 3(x + -2) + -5(2x + 1) = 3 Reorder the terms: 3(-2 + x) + -5(2x + 1) = 3 (-2 * 3 + x * 3) + -5(2x + 1) = 3 (-6 + 3x) + -5(2x + 1) = 3 Reorder the terms: -6 + 3x + -5(1 + 2x) = 3 -6 + 3x + (1 * -5 + 2x * -5) = 3 -6 + 3x + (-5 + -10x) = 3 Reorder the terms: -6 + -5 + 3x + -10x = 3 Combine like terms: -6 + -5 = -11 -11 + 3x + -10x = 3 Combine like terms: 3x + -10x = -7x -11 + -7x = 3 Solving -11 + -7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -7x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = 3 + 11 -7x = 3 + 11 Combine like terms: 3 + 11 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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