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Simplifying 5x + 2(-4x) + 8 + -2x = 5(3x + -7) + (-11) Remove parenthesis around (-4x) 5x + 2 * -4x + 8 + -2x = 5(3x + -7) + (-11) Multiply 2 * -4 5x + -8x + 8 + -2x = 5(3x + -7) + (-11) Reorder the terms: 8 + 5x + -8x + -2x = 5(3x + -7) + (-11) Combine like terms: 5x + -8x = -3x 8 + -3x + -2x = 5(3x + -7) + (-11) Combine like terms: -3x + -2x = -5x 8 + -5x = 5(3x + -7) + (-11) Reorder the terms: 8 + -5x = 5(-7 + 3x) + (-11) 8 + -5x = (-7 * 5 + 3x * 5) + (-11) 8 + -5x = (-35 + 15x) + (-11) 8 + -5x = -35 + 15x + -11 Reorder the terms: 8 + -5x = -35 + -11 + 15x Combine like terms: -35 + -11 = -46 8 + -5x = -46 + 15x Solving 8 + -5x = -46 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + -5x + -15x = -46 + 15x + -15x Combine like terms: -5x + -15x = -20x 8 + -20x = -46 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -20x = -46 + 0 8 + -20x = -46 Add '-8' to each side of the equation. 8 + -8 + -20x = -46 + -8 Combine like terms: 8 + -8 = 0 0 + -20x = -46 + -8 -20x = -46 + -8 Combine like terms: -46 + -8 = -54 -20x = -54 Divide each side by '-20'. x = 2.7 Simplifying x = 2.7
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