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Simplifying 7(x + -3) + 1 = 5x + -6 Reorder the terms: 7(-3 + x) + 1 = 5x + -6 (-3 * 7 + x * 7) + 1 = 5x + -6 (-21 + 7x) + 1 = 5x + -6 Reorder the terms: -21 + 1 + 7x = 5x + -6 Combine like terms: -21 + 1 = -20 -20 + 7x = 5x + -6 Reorder the terms: -20 + 7x = -6 + 5x Solving -20 + 7x = -6 + 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. -20 + 7x + -5x = -6 + 5x + -5x Combine like terms: 7x + -5x = 2x -20 + 2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 2x = -6 + 0 -20 + 2x = -6 Add '20' to each side of the equation. -20 + 20 + 2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -6 + 20 2x = -6 + 20 Combine like terms: -6 + 20 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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