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Simplifying 7x + -1 = 5(x + 1) + -3(x + 2) Reorder the terms: -1 + 7x = 5(x + 1) + -3(x + 2) Reorder the terms: -1 + 7x = 5(1 + x) + -3(x + 2) -1 + 7x = (1 * 5 + x * 5) + -3(x + 2) -1 + 7x = (5 + 5x) + -3(x + 2) Reorder the terms: -1 + 7x = 5 + 5x + -3(2 + x) -1 + 7x = 5 + 5x + (2 * -3 + x * -3) -1 + 7x = 5 + 5x + (-6 + -3x) Reorder the terms: -1 + 7x = 5 + -6 + 5x + -3x Combine like terms: 5 + -6 = -1 -1 + 7x = -1 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + 7x = -1 + 2x Add '1' to each side of the equation. -1 + 1 + 7x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + 7x = -1 + 1 + 2x 7x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 7x = 0 + 2x 7x = 2x Solving 7x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 5x = 2x + -2x Combine like terms: 2x + -2x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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