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Simplifying 3 + -1(7x + 7) = 6(x + 8) Reorder the terms: 3 + -1(7 + 7x) = 6(x + 8) 3 + (7 * -1 + 7x * -1) = 6(x + 8) 3 + (-7 + -7x) = 6(x + 8) Combine like terms: 3 + -7 = -4 -4 + -7x = 6(x + 8) Reorder the terms: -4 + -7x = 6(8 + x) -4 + -7x = (8 * 6 + x * 6) -4 + -7x = (48 + 6x) Solving -4 + -7x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -7x + -6x = 48 + 6x + -6x Combine like terms: -7x + -6x = -13x -4 + -13x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -13x = 48 + 0 -4 + -13x = 48 Add '4' to each side of the equation. -4 + 4 + -13x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + -13x = 48 + 4 -13x = 48 + 4 Combine like terms: 48 + 4 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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