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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 = -15 -15 + 2x + -4x = 4(x + 6) Combine like terms: 2x + -4x = -2x -15 + -2x = 4(x + 6) Reorder the terms: -15 + -2x = 4(6 + x) -15 + -2x = (6 * 4 + x * 4) -15 + -2x = (24 + 4x) Solving -15 + -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. -15 + -2x + -4x = 24 + 4x + -4x Combine like terms: -2x + -4x = -6x -15 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -6x = 24 + 0 -15 + -6x = 24 Add '15' to each side of the equation. -15 + 15 + -6x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 24 + 15 -6x = 24 + 15 Combine like terms: 24 + 15 = 39 -6x = 39 Divide each side by '-6'. x = -6.5 Simplifying x = -6.5
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