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Simplifying 2.5(x + -3) + -3 + 1.7x = 10.8(x + 1.5) Reorder the terms: 2.5(-3 + x) + -3 + 1.7x = 10.8(x + 1.5) (-3 * 2.5 + x * 2.5) + -3 + 1.7x = 10.8(x + 1.5) (-7.5 + 2.5x) + -3 + 1.7x = 10.8(x + 1.5) Reorder the terms: -7.5 + -3 + 2.5x + 1.7x = 10.8(x + 1.5) Combine like terms: -7.5 + -3 = -10.5 -10.5 + 2.5x + 1.7x = 10.8(x + 1.5) Combine like terms: 2.5x + 1.7x = 4.2x -10.5 + 4.2x = 10.8(x + 1.5) Reorder the terms: -10.5 + 4.2x = 10.8(1.5 + x) -10.5 + 4.2x = (1.5 * 10.8 + x * 10.8) -10.5 + 4.2x = (16.2 + 10.8x) Solving -10.5 + 4.2x = 16.2 + 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. -10.5 + 4.2x + -10.8x = 16.2 + 10.8x + -10.8x Combine like terms: 4.2x + -10.8x = -6.6x -10.5 + -6.6x = 16.2 + 10.8x + -10.8x Combine like terms: 10.8x + -10.8x = 0.0 -10.5 + -6.6x = 16.2 + 0.0 -10.5 + -6.6x = 16.2 Add '10.5' to each side of the equation. -10.5 + 10.5 + -6.6x = 16.2 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -6.6x = 16.2 + 10.5 -6.6x = 16.2 + 10.5 Combine like terms: 16.2 + 10.5 = 26.7 -6.6x = 26.7 Divide each side by '-6.6'. x = -4.045454545 Simplifying x = -4.045454545
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