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Simplifying 3(2x + -5) = x + -45 Reorder the terms: 3(-5 + 2x) = x + -45 (-5 * 3 + 2x * 3) = x + -45 (-15 + 6x) = x + -45 Reorder the terms: -15 + 6x = -45 + x Solving -15 + 6x = -45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 6x + -1x = -45 + x + -1x Combine like terms: 6x + -1x = 5x -15 + 5x = -45 + x + -1x Combine like terms: x + -1x = 0 -15 + 5x = -45 + 0 -15 + 5x = -45 Add '15' to each side of the equation. -15 + 15 + 5x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -45 + 15 5x = -45 + 15 Combine like terms: -45 + 15 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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