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Simplifying 5(2x + -3) = -6x + 1 Reorder the terms: 5(-3 + 2x) = -6x + 1 (-3 * 5 + 2x * 5) = -6x + 1 (-15 + 10x) = -6x + 1 Reorder the terms: -15 + 10x = 1 + -6x Solving -15 + 10x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 10x + 6x = 1 + -6x + 6x Combine like terms: 10x + 6x = 16x -15 + 16x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 16x = 1 + 0 -15 + 16x = 1 Add '15' to each side of the equation. -15 + 15 + 16x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 1 + 15 16x = 1 + 15 Combine like terms: 1 + 15 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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