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Simplifying (2x + -7) + -1(4x + -8) = 4(x + 6) Reorder the terms: (-7 + 2x) + -1(4x + -8) = 4(x + 6) Remove parenthesis around (-7 + 2x) -7 + 2x + -1(4x + -8) = 4(x + 6) Reorder the terms: -7 + 2x + -1(-8 + 4x) = 4(x + 6) -7 + 2x + (-8 * -1 + 4x * -1) = 4(x + 6) -7 + 2x + (8 + -4x) = 4(x + 6) Reorder the terms: -7 + 8 + 2x + -4x = 4(x + 6) Combine like terms: -7 + 8 = 1 1 + 2x + -4x = 4(x + 6) Combine like terms: 2x + -4x = -2x 1 + -2x = 4(x + 6) Reorder the terms: 1 + -2x = 4(6 + x) 1 + -2x = (6 * 4 + x * 4) 1 + -2x = (24 + 4x) Solving 1 + -2x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -2x + -4x = 24 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = 24 + 0 1 + -6x = 24 Add '-1' to each side of the equation. 1 + -1 + -6x = 24 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 24 + -1 -6x = 24 + -1 Combine like terms: 24 + -1 = 23 -6x = 23 Divide each side by '-6'. x = -3.833333333 Simplifying x = -3.833333333
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