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Simplifying -8(x + 5) = -6(x + 2) Reorder the terms: -8(5 + x) = -6(x + 2) (5 * -8 + x * -8) = -6(x + 2) (-40 + -8x) = -6(x + 2) Reorder the terms: -40 + -8x = -6(2 + x) -40 + -8x = (2 * -6 + x * -6) -40 + -8x = (-12 + -6x) Solving -40 + -8x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -40 + -8x + 6x = -12 + -6x + 6x Combine like terms: -8x + 6x = -2x -40 + -2x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + -2x = -12 + 0 -40 + -2x = -12 Add '40' to each side of the equation. -40 + 40 + -2x = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -12 + 40 -2x = -12 + 40 Combine like terms: -12 + 40 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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