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Simplifying 4.5(4 + x) + 11.25 = 15x + -2.25(x + -2) (4 * 4.5 + x * 4.5) + 11.25 = 15x + -2.25(x + -2) (18 + 4.5x) + 11.25 = 15x + -2.25(x + -2) Reorder the terms: 18 + 11.25 + 4.5x = 15x + -2.25(x + -2) Combine like terms: 18 + 11.25 = 29.25 29.25 + 4.5x = 15x + -2.25(x + -2) Reorder the terms: 29.25 + 4.5x = 15x + -2.25(-2 + x) 29.25 + 4.5x = 15x + (-2 * -2.25 + x * -2.25) 29.25 + 4.5x = 15x + (4.5 + -2.25x) Reorder the terms: 29.25 + 4.5x = 4.5 + 15x + -2.25x Combine like terms: 15x + -2.25x = 12.75x 29.25 + 4.5x = 4.5 + 12.75x Solving 29.25 + 4.5x = 4.5 + 12.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.75x' to each side of the equation. 29.25 + 4.5x + -12.75x = 4.5 + 12.75x + -12.75x Combine like terms: 4.5x + -12.75x = -8.25x 29.25 + -8.25x = 4.5 + 12.75x + -12.75x Combine like terms: 12.75x + -12.75x = 0.00 29.25 + -8.25x = 4.5 + 0.00 29.25 + -8.25x = 4.5 Add '-29.25' to each side of the equation. 29.25 + -29.25 + -8.25x = 4.5 + -29.25 Combine like terms: 29.25 + -29.25 = 0.00 0.00 + -8.25x = 4.5 + -29.25 -8.25x = 4.5 + -29.25 Combine like terms: 4.5 + -29.25 = -24.75 -8.25x = -24.75 Divide each side by '-8.25'. x = 3 Simplifying x = 3
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