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Simplifying -4.2 = 2(x + -3.5) + 3x + -1.75 Reorder the terms: -4.2 = 2(-3.5 + x) + 3x + -1.75 -4.2 = (-3.5 * 2 + x * 2) + 3x + -1.75 -4.2 = (-7 + 2x) + 3x + -1.75 Reorder the terms: -4.2 = -7 + -1.75 + 2x + 3x Combine like terms: -7 + -1.75 = -8.75 -4.2 = -8.75 + 2x + 3x Combine like terms: 2x + 3x = 5x -4.2 = -8.75 + 5x Solving -4.2 = -8.75 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4.2 + -5x = -8.75 + 5x + -5x Combine like terms: 5x + -5x = 0 -4.2 + -5x = -8.75 + 0 -4.2 + -5x = -8.75 Add '4.2' to each side of the equation. -4.2 + 4.2 + -5x = -8.75 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -5x = -8.75 + 4.2 -5x = -8.75 + 4.2 Combine like terms: -8.75 + 4.2 = -4.55 -5x = -4.55 Divide each side by '-5'. x = 0.91 Simplifying x = 0.91
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