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Simplifying 2.5(x + -2) = 7(x + -4) Reorder the terms: 2.5(-2 + x) = 7(x + -4) (-2 * 2.5 + x * 2.5) = 7(x + -4) (-5 + 2.5x) = 7(x + -4) Reorder the terms: -5 + 2.5x = 7(-4 + x) -5 + 2.5x = (-4 * 7 + x * 7) -5 + 2.5x = (-28 + 7x) Solving -5 + 2.5x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 2.5x + -7x = -28 + 7x + -7x Combine like terms: 2.5x + -7x = -4.5x -5 + -4.5x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -4.5x = -28 + 0 -5 + -4.5x = -28 Add '5' to each side of the equation. -5 + 5 + -4.5x = -28 + 5 Combine like terms: -5 + 5 = 0 0 + -4.5x = -28 + 5 -4.5x = -28 + 5 Combine like terms: -28 + 5 = -23 -4.5x = -23 Divide each side by '-4.5'. x = 5.111111111 Simplifying x = 5.111111111
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