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Simplifying 3(2x + -5) + -2(5x + 1) = 7 Reorder the terms: 3(-5 + 2x) + -2(5x + 1) = 7 (-5 * 3 + 2x * 3) + -2(5x + 1) = 7 (-15 + 6x) + -2(5x + 1) = 7 Reorder the terms: -15 + 6x + -2(1 + 5x) = 7 -15 + 6x + (1 * -2 + 5x * -2) = 7 -15 + 6x + (-2 + -10x) = 7 Reorder the terms: -15 + -2 + 6x + -10x = 7 Combine like terms: -15 + -2 = -17 -17 + 6x + -10x = 7 Combine like terms: 6x + -10x = -4x -17 + -4x = 7 Solving -17 + -4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 7 + 17 -4x = 7 + 17 Combine like terms: 7 + 17 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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