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Simplifying (4x + 5) + 0.5(4x + 5) = 9x Reorder the terms: (5 + 4x) + 0.5(4x + 5) = 9x Remove parenthesis around (5 + 4x) 5 + 4x + 0.5(4x + 5) = 9x Reorder the terms: 5 + 4x + 0.5(5 + 4x) = 9x 5 + 4x + (5 * 0.5 + 4x * 0.5) = 9x 5 + 4x + (2.5 + 2x) = 9x Reorder the terms: 5 + 2.5 + 4x + 2x = 9x Combine like terms: 5 + 2.5 = 7.5 7.5 + 4x + 2x = 9x Combine like terms: 4x + 2x = 6x 7.5 + 6x = 9x Solving 7.5 + 6x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7.5 + 6x + -9x = 9x + -9x Combine like terms: 6x + -9x = -3x 7.5 + -3x = 9x + -9x Combine like terms: 9x + -9x = 0 7.5 + -3x = 0 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -3x = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -3x = 0 + -7.5 -3x = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -3x = -7.5 Divide each side by '-3'. x = 2.5 Simplifying x = 2.5
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