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Simplifying (5 + -3x) + -2(4x + 6) = (8x + 11) + -5(3x + -6) Remove parenthesis around (5 + -3x) 5 + -3x + -2(4x + 6) = (8x + 11) + -5(3x + -6) Reorder the terms: 5 + -3x + -2(6 + 4x) = (8x + 11) + -5(3x + -6) 5 + -3x + (6 * -2 + 4x * -2) = (8x + 11) + -5(3x + -6) 5 + -3x + (-12 + -8x) = (8x + 11) + -5(3x + -6) Reorder the terms: 5 + -12 + -3x + -8x = (8x + 11) + -5(3x + -6) Combine like terms: 5 + -12 = -7 -7 + -3x + -8x = (8x + 11) + -5(3x + -6) Combine like terms: -3x + -8x = -11x -7 + -11x = (8x + 11) + -5(3x + -6) Reorder the terms: -7 + -11x = (11 + 8x) + -5(3x + -6) Remove parenthesis around (11 + 8x) -7 + -11x = 11 + 8x + -5(3x + -6) Reorder the terms: -7 + -11x = 11 + 8x + -5(-6 + 3x) -7 + -11x = 11 + 8x + (-6 * -5 + 3x * -5) -7 + -11x = 11 + 8x + (30 + -15x) Reorder the terms: -7 + -11x = 11 + 30 + 8x + -15x Combine like terms: 11 + 30 = 41 -7 + -11x = 41 + 8x + -15x Combine like terms: 8x + -15x = -7x -7 + -11x = 41 + -7x Solving -7 + -11x = 41 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + -11x + 7x = 41 + -7x + 7x Combine like terms: -11x + 7x = -4x -7 + -4x = 41 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + -4x = 41 + 0 -7 + -4x = 41 Add '7' to each side of the equation. -7 + 7 + -4x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 41 + 7 -4x = 41 + 7 Combine like terms: 41 + 7 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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