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Simplifying 5(7x + -3) + 3 = 5(x + 4) Reorder the terms: 5(-3 + 7x) + 3 = 5(x + 4) (-3 * 5 + 7x * 5) + 3 = 5(x + 4) (-15 + 35x) + 3 = 5(x + 4) Reorder the terms: -15 + 3 + 35x = 5(x + 4) Combine like terms: -15 + 3 = -12 -12 + 35x = 5(x + 4) Reorder the terms: -12 + 35x = 5(4 + x) -12 + 35x = (4 * 5 + x * 5) -12 + 35x = (20 + 5x) Solving -12 + 35x = 20 + 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. -12 + 35x + -5x = 20 + 5x + -5x Combine like terms: 35x + -5x = 30x -12 + 30x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 30x = 20 + 0 -12 + 30x = 20 Add '12' to each side of the equation. -12 + 12 + 30x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 30x = 20 + 12 30x = 20 + 12 Combine like terms: 20 + 12 = 32 30x = 32 Divide each side by '30'. x = 1.066666667 Simplifying x = 1.066666667
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