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Simplifying 5(2x + -3) + 1 = 2(10x + 8) Reorder the terms: 5(-3 + 2x) + 1 = 2(10x + 8) (-3 * 5 + 2x * 5) + 1 = 2(10x + 8) (-15 + 10x) + 1 = 2(10x + 8) Reorder the terms: -15 + 1 + 10x = 2(10x + 8) Combine like terms: -15 + 1 = -14 -14 + 10x = 2(10x + 8) Reorder the terms: -14 + 10x = 2(8 + 10x) -14 + 10x = (8 * 2 + 10x * 2) -14 + 10x = (16 + 20x) Solving -14 + 10x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + 10x + -20x = 16 + 20x + -20x Combine like terms: 10x + -20x = -10x -14 + -10x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + -10x = 16 + 0 -14 + -10x = 16 Add '14' to each side of the equation. -14 + 14 + -10x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 16 + 14 -10x = 16 + 14 Combine like terms: 16 + 14 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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