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Simplifying 5(2x + -3) = -3 + 6x + -8x Reorder the terms: 5(-3 + 2x) = -3 + 6x + -8x (-3 * 5 + 2x * 5) = -3 + 6x + -8x (-15 + 10x) = -3 + 6x + -8x Combine like terms: 6x + -8x = -2x -15 + 10x = -3 + -2x Solving -15 + 10x = -3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 10x + 2x = -3 + -2x + 2x Combine like terms: 10x + 2x = 12x -15 + 12x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 12x = -3 + 0 -15 + 12x = -3 Add '15' to each side of the equation. -15 + 15 + 12x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -3 + 15 12x = -3 + 15 Combine like terms: -3 + 15 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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