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Simplifying 7x + -3 = 5(x + -4) + 1 Reorder the terms: -3 + 7x = 5(x + -4) + 1 Reorder the terms: -3 + 7x = 5(-4 + x) + 1 -3 + 7x = (-4 * 5 + x * 5) + 1 -3 + 7x = (-20 + 5x) + 1 Reorder the terms: -3 + 7x = -20 + 1 + 5x Combine like terms: -20 + 1 = -19 -3 + 7x = -19 + 5x Solving -3 + 7x = -19 + 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. -3 + 7x + -5x = -19 + 5x + -5x Combine like terms: 7x + -5x = 2x -3 + 2x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 2x = -19 + 0 -3 + 2x = -19 Add '3' to each side of the equation. -3 + 3 + 2x = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -19 + 3 2x = -19 + 3 Combine like terms: -19 + 3 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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