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Simplifying -1.7(x + 3) = 3.5(x + -4.8) + 3.9 Reorder the terms: -1.7(3 + x) = 3.5(x + -4.8) + 3.9 (3 * -1.7 + x * -1.7) = 3.5(x + -4.8) + 3.9 (-5.1 + -1.7x) = 3.5(x + -4.8) + 3.9 Reorder the terms: -5.1 + -1.7x = 3.5(-4.8 + x) + 3.9 -5.1 + -1.7x = (-4.8 * 3.5 + x * 3.5) + 3.9 -5.1 + -1.7x = (-16.8 + 3.5x) + 3.9 Reorder the terms: -5.1 + -1.7x = -16.8 + 3.9 + 3.5x Combine like terms: -16.8 + 3.9 = -12.9 -5.1 + -1.7x = -12.9 + 3.5x Solving -5.1 + -1.7x = -12.9 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -5.1 + -1.7x + -3.5x = -12.9 + 3.5x + -3.5x Combine like terms: -1.7x + -3.5x = -5.2x -5.1 + -5.2x = -12.9 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -5.1 + -5.2x = -12.9 + 0.0 -5.1 + -5.2x = -12.9 Add '5.1' to each side of the equation. -5.1 + 5.1 + -5.2x = -12.9 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -5.2x = -12.9 + 5.1 -5.2x = -12.9 + 5.1 Combine like terms: -12.9 + 5.1 = -7.8 -5.2x = -7.8 Divide each side by '-5.2'. x = 1.5 Simplifying x = 1.5
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