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Simplifying 6(x + -2.5) = 8 + -6(3.5 + x) Reorder the terms: 6(-2.5 + x) = 8 + -6(3.5 + x) (-2.5 * 6 + x * 6) = 8 + -6(3.5 + x) (-15 + 6x) = 8 + -6(3.5 + x) -15 + 6x = 8 + (3.5 * -6 + x * -6) -15 + 6x = 8 + (-21 + -6x) Combine like terms: 8 + -21 = -13 -15 + 6x = -13 + -6x Solving -15 + 6x = -13 + -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. -15 + 6x + 6x = -13 + -6x + 6x Combine like terms: 6x + 6x = 12x -15 + 12x = -13 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 12x = -13 + 0 -15 + 12x = -13 Add '15' to each side of the equation. -15 + 15 + 12x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -13 + 15 12x = -13 + 15 Combine like terms: -13 + 15 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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