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Simplifying 7 + -2(2x + 4) = 4x + 5(x + -8) Reorder the terms: 7 + -2(4 + 2x) = 4x + 5(x + -8) 7 + (4 * -2 + 2x * -2) = 4x + 5(x + -8) 7 + (-8 + -4x) = 4x + 5(x + -8) Combine like terms: 7 + -8 = -1 -1 + -4x = 4x + 5(x + -8) Reorder the terms: -1 + -4x = 4x + 5(-8 + x) -1 + -4x = 4x + (-8 * 5 + x * 5) -1 + -4x = 4x + (-40 + 5x) Reorder the terms: -1 + -4x = -40 + 4x + 5x Combine like terms: 4x + 5x = 9x -1 + -4x = -40 + 9x Solving -1 + -4x = -40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + -4x + -9x = -40 + 9x + -9x Combine like terms: -4x + -9x = -13x -1 + -13x = -40 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -13x = -40 + 0 -1 + -13x = -40 Add '1' to each side of the equation. -1 + 1 + -13x = -40 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = -40 + 1 -13x = -40 + 1 Combine like terms: -40 + 1 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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