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Simplifying 2.5(6x + -4) = 10 + 4(1.5 + 0.5) Reorder the terms: 2.5(-4 + 6x) = 10 + 4(1.5 + 0.5) (-4 * 2.5 + 6x * 2.5) = 10 + 4(1.5 + 0.5) (-10 + 15x) = 10 + 4(1.5 + 0.5) Combine like terms: 1.5 + 0.5 = 2 -10 + 15x = 10 + 4(2) Multiply 4 * 2 -10 + 15x = 10 + 8 Combine like terms: 10 + 8 = 18 -10 + 15x = 18 Solving -10 + 15x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 15x = 18 + 10 15x = 18 + 10 Combine like terms: 18 + 10 = 28 15x = 28 Divide each side by '15'. x = 1.866666667 Simplifying x = 1.866666667
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