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Simplifying 5x + 2(-4x) + 8 + -2x = 5(3x + -7) + (-11x) Remove parenthesis around (-4x) 5x + 2 * -4x + 8 + -2x = 5(3x + -7) + (-11x) Multiply 2 * -4 5x + -8x + 8 + -2x = 5(3x + -7) + (-11x) Reorder the terms: 8 + 5x + -8x + -2x = 5(3x + -7) + (-11x) Combine like terms: 5x + -8x = -3x 8 + -3x + -2x = 5(3x + -7) + (-11x) Combine like terms: -3x + -2x = -5x 8 + -5x = 5(3x + -7) + (-11x) Reorder the terms: 8 + -5x = 5(-7 + 3x) + (-11x) 8 + -5x = (-7 * 5 + 3x * 5) + (-11x) 8 + -5x = (-35 + 15x) + (-11x) Combine like terms: 15x + (-11x) = 4x 8 + -5x = -35 + 4x Solving 8 + -5x = -35 + 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. 8 + -5x + -4x = -35 + 4x + -4x Combine like terms: -5x + -4x = -9x 8 + -9x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -9x = -35 + 0 8 + -9x = -35 Add '-8' to each side of the equation. 8 + -8 + -9x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -35 + -8 -9x = -35 + -8 Combine like terms: -35 + -8 = -43 -9x = -43 Divide each side by '-9'. x = 4.777777778 Simplifying x = 4.777777778
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