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Simplifying 5(2x + -3) + -1 = 8x + -6 Reorder the terms: 5(-3 + 2x) + -1 = 8x + -6 (-3 * 5 + 2x * 5) + -1 = 8x + -6 (-15 + 10x) + -1 = 8x + -6 Reorder the terms: -15 + -1 + 10x = 8x + -6 Combine like terms: -15 + -1 = -16 -16 + 10x = 8x + -6 Reorder the terms: -16 + 10x = -6 + 8x Solving -16 + 10x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 10x + -8x = -6 + 8x + -8x Combine like terms: 10x + -8x = 2x -16 + 2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 2x = -6 + 0 -16 + 2x = -6 Add '16' to each side of the equation. -16 + 16 + 2x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -6 + 16 2x = -6 + 16 Combine like terms: -6 + 16 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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