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Simplifying 5(x + -4) + 2(x + 6) = 6x + 2.5 Reorder the terms: 5(-4 + x) + 2(x + 6) = 6x + 2.5 (-4 * 5 + x * 5) + 2(x + 6) = 6x + 2.5 (-20 + 5x) + 2(x + 6) = 6x + 2.5 Reorder the terms: -20 + 5x + 2(6 + x) = 6x + 2.5 -20 + 5x + (6 * 2 + x * 2) = 6x + 2.5 -20 + 5x + (12 + 2x) = 6x + 2.5 Reorder the terms: -20 + 12 + 5x + 2x = 6x + 2.5 Combine like terms: -20 + 12 = -8 -8 + 5x + 2x = 6x + 2.5 Combine like terms: 5x + 2x = 7x -8 + 7x = 6x + 2.5 Reorder the terms: -8 + 7x = 2.5 + 6x Solving -8 + 7x = 2.5 + 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. -8 + 7x + -6x = 2.5 + 6x + -6x Combine like terms: 7x + -6x = 1x -8 + 1x = 2.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 1x = 2.5 + 0 -8 + 1x = 2.5 Add '8' to each side of the equation. -8 + 8 + 1x = 2.5 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 2.5 + 8 1x = 2.5 + 8 Combine like terms: 2.5 + 8 = 10.5 1x = 10.5 Divide each side by '1'. x = 10.5 Simplifying x = 10.5
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