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Simplifying 4(2.5 + 3.5) + -4.5(4x + 5) = 0 Combine like terms: 2.5 + 3.5 = 6 4(6) + -4.5(4x + 5) = 0 Multiply 4 * 6 24 + -4.5(4x + 5) = 0 Reorder the terms: 24 + -4.5(5 + 4x) = 0 24 + (5 * -4.5 + 4x * -4.5) = 0 24 + (-22.5 + -18x) = 0 Combine like terms: 24 + -22.5 = 1.5 1.5 + -18x = 0 Solving 1.5 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -18x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -18x = 0 + -1.5 -18x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -18x = -1.5 Divide each side by '-18'. x = 0.08333333333 Simplifying x = 0.08333333333
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