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Simplifying 2.5(x + -3) + 1.7x = 10.8(x + 15) Reorder the terms: 2.5(-3 + x) + 1.7x = 10.8(x + 15) (-3 * 2.5 + x * 2.5) + 1.7x = 10.8(x + 15) (-7.5 + 2.5x) + 1.7x = 10.8(x + 15) Combine like terms: 2.5x + 1.7x = 4.2x -7.5 + 4.2x = 10.8(x + 15) Reorder the terms: -7.5 + 4.2x = 10.8(15 + x) -7.5 + 4.2x = (15 * 10.8 + x * 10.8) -7.5 + 4.2x = (162 + 10.8x) Solving -7.5 + 4.2x = 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 + 4.2x + -10.8x = 162 + 10.8x + -10.8x Combine like terms: 4.2x + -10.8x = -6.6x -7.5 + -6.6x = 162 + 10.8x + -10.8x Combine like terms: 10.8x + -10.8x = 0.0 -7.5 + -6.6x = 162 + 0.0 -7.5 + -6.6x = 162 Add '7.5' to each side of the equation. -7.5 + 7.5 + -6.6x = 162 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -6.6x = 162 + 7.5 -6.6x = 162 + 7.5 Combine like terms: 162 + 7.5 = 169.5 -6.6x = 169.5 Divide each side by '-6.6'. x = -25.68181818 Simplifying x = -25.68181818
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