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Simplifying 7(x + -1) + 73 = x + -6(x + 1) Reorder the terms: 7(-1 + x) + 73 = x + -6(x + 1) (-1 * 7 + x * 7) + 73 = x + -6(x + 1) (-7 + 7x) + 73 = x + -6(x + 1) Reorder the terms: -7 + 73 + 7x = x + -6(x + 1) Combine like terms: -7 + 73 = 66 66 + 7x = x + -6(x + 1) Reorder the terms: 66 + 7x = x + -6(1 + x) 66 + 7x = x + (1 * -6 + x * -6) 66 + 7x = x + (-6 + -6x) Reorder the terms: 66 + 7x = -6 + x + -6x Combine like terms: x + -6x = -5x 66 + 7x = -6 + -5x Solving 66 + 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. 66 + 7x + 5x = -6 + -5x + 5x Combine like terms: 7x + 5x = 12x 66 + 12x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 66 + 12x = -6 + 0 66 + 12x = -6 Add '-66' to each side of the equation. 66 + -66 + 12x = -6 + -66 Combine like terms: 66 + -66 = 0 0 + 12x = -6 + -66 12x = -6 + -66 Combine like terms: -6 + -66 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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