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Simplifying 4.2x + -15 = 17x + 83 Reorder the terms: -15 + 4.2x = 17x + 83 Reorder the terms: -15 + 4.2x = 83 + 17x Solving -15 + 4.2x = 83 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 4.2x + -17x = 83 + 17x + -17x Combine like terms: 4.2x + -17x = -12.8x -15 + -12.8x = 83 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + -12.8x = 83 + 0 -15 + -12.8x = 83 Add '15' to each side of the equation. -15 + 15 + -12.8x = 83 + 15 Combine like terms: -15 + 15 = 0 0 + -12.8x = 83 + 15 -12.8x = 83 + 15 Combine like terms: 83 + 15 = 98 -12.8x = 98 Divide each side by '-12.8'. x = -7.65625 Simplifying x = -7.65625
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