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Simplifying 2.5(x + -3) + 17x = 10.8(x + 15) Reorder the terms: 2.5(-3 + x) + 17x = 10.8(x + 15) (-3 * 2.5 + x * 2.5) + 17x = 10.8(x + 15) (-7.5 + 2.5x) + 17x = 10.8(x + 15) Combine like terms: 2.5x + 17x = 19.5x -7.5 + 19.5x = 10.8(x + 15) Reorder the terms: -7.5 + 19.5x = 10.8(15 + x) -7.5 + 19.5x = (15 * 10.8 + x * 10.8) -7.5 + 19.5x = (162 + 10.8x) Solving -7.5 + 19.5x = 162 + 10.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.8x' to each side of the equation. -7.5 + 19.5x + -10.8x = 162 + 10.8x + -10.8x Combine like terms: 19.5x + -10.8x = 8.7x -7.5 + 8.7x = 162 + 10.8x + -10.8x Combine like terms: 10.8x + -10.8x = 0.0 -7.5 + 8.7x = 162 + 0.0 -7.5 + 8.7x = 162 Add '7.5' to each side of the equation. -7.5 + 7.5 + 8.7x = 162 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 8.7x = 162 + 7.5 8.7x = 162 + 7.5 Combine like terms: 162 + 7.5 = 169.5 8.7x = 169.5 Divide each side by '8.7'. x = 19.48275862 Simplifying x = 19.48275862
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