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Simplifying 5(2x + -10) + -4 = 5(x + -3) + 1 Reorder the terms: 5(-10 + 2x) + -4 = 5(x + -3) + 1 (-10 * 5 + 2x * 5) + -4 = 5(x + -3) + 1 (-50 + 10x) + -4 = 5(x + -3) + 1 Reorder the terms: -50 + -4 + 10x = 5(x + -3) + 1 Combine like terms: -50 + -4 = -54 -54 + 10x = 5(x + -3) + 1 Reorder the terms: -54 + 10x = 5(-3 + x) + 1 -54 + 10x = (-3 * 5 + x * 5) + 1 -54 + 10x = (-15 + 5x) + 1 Reorder the terms: -54 + 10x = -15 + 1 + 5x Combine like terms: -15 + 1 = -14 -54 + 10x = -14 + 5x Solving -54 + 10x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -54 + 10x + -5x = -14 + 5x + -5x Combine like terms: 10x + -5x = 5x -54 + 5x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 5x = -14 + 0 -54 + 5x = -14 Add '54' to each side of the equation. -54 + 54 + 5x = -14 + 54 Combine like terms: -54 + 54 = 0 0 + 5x = -14 + 54 5x = -14 + 54 Combine like terms: -14 + 54 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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