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Simplifying 3(2x + -5) + -2(5x + -2) = 1 Reorder the terms: 3(-5 + 2x) + -2(5x + -2) = 1 (-5 * 3 + 2x * 3) + -2(5x + -2) = 1 (-15 + 6x) + -2(5x + -2) = 1 Reorder the terms: -15 + 6x + -2(-2 + 5x) = 1 -15 + 6x + (-2 * -2 + 5x * -2) = 1 -15 + 6x + (4 + -10x) = 1 Reorder the terms: -15 + 4 + 6x + -10x = 1 Combine like terms: -15 + 4 = -11 -11 + 6x + -10x = 1 Combine like terms: 6x + -10x = -4x -11 + -4x = 1 Solving -11 + -4x = 1 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 + -4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 1 + 11 -4x = 1 + 11 Combine like terms: 1 + 11 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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