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Simplifying 8x + -5(8 + -1x) = -6 + -2(x + 2) 8x + (8 * -5 + -1x * -5) = -6 + -2(x + 2) 8x + (-40 + 5x) = -6 + -2(x + 2) Reorder the terms: -40 + 8x + 5x = -6 + -2(x + 2) Combine like terms: 8x + 5x = 13x -40 + 13x = -6 + -2(x + 2) Reorder the terms: -40 + 13x = -6 + -2(2 + x) -40 + 13x = -6 + (2 * -2 + x * -2) -40 + 13x = -6 + (-4 + -2x) Combine like terms: -6 + -4 = -10 -40 + 13x = -10 + -2x Solving -40 + 13x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -40 + 13x + 2x = -10 + -2x + 2x Combine like terms: 13x + 2x = 15x -40 + 15x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 15x = -10 + 0 -40 + 15x = -10 Add '40' to each side of the equation. -40 + 40 + 15x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = -10 + 40 15x = -10 + 40 Combine like terms: -10 + 40 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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