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Simplifying -6 = -6(x + -4) + 8(x + -5) Reorder the terms: -6 = -6(-4 + x) + 8(x + -5) -6 = (-4 * -6 + x * -6) + 8(x + -5) -6 = (24 + -6x) + 8(x + -5) Reorder the terms: -6 = 24 + -6x + 8(-5 + x) -6 = 24 + -6x + (-5 * 8 + x * 8) -6 = 24 + -6x + (-40 + 8x) Reorder the terms: -6 = 24 + -40 + -6x + 8x Combine like terms: 24 + -40 = -16 -6 = -16 + -6x + 8x Combine like terms: -6x + 8x = 2x -6 = -16 + 2x Solving -6 = -16 + 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. -6 + -2x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -2x = -16 + 0 -6 + -2x = -16 Add '6' to each side of the equation. -6 + 6 + -2x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -16 + 6 -2x = -16 + 6 Combine like terms: -16 + 6 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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