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Simplifying 52x + 3.2 + -1.75 = 17x + 2 + -1.85 + 19x Reorder the terms: 3.2 + -1.75 + 52x = 17x + 2 + -1.85 + 19x Combine like terms: 3.2 + -1.75 = 1.45 1.45 + 52x = 17x + 2 + -1.85 + 19x Reorder the terms: 1.45 + 52x = 2 + -1.85 + 17x + 19x Combine like terms: 2 + -1.85 = 0.15 1.45 + 52x = 0.15 + 17x + 19x Combine like terms: 17x + 19x = 36x 1.45 + 52x = 0.15 + 36x Solving 1.45 + 52x = 0.15 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 1.45 + 52x + -36x = 0.15 + 36x + -36x Combine like terms: 52x + -36x = 16x 1.45 + 16x = 0.15 + 36x + -36x Combine like terms: 36x + -36x = 0 1.45 + 16x = 0.15 + 0 1.45 + 16x = 0.15 Add '-1.45' to each side of the equation. 1.45 + -1.45 + 16x = 0.15 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + 16x = 0.15 + -1.45 16x = 0.15 + -1.45 Combine like terms: 0.15 + -1.45 = -1.3 16x = -1.3 Divide each side by '16'. x = -0.08125 Simplifying x = -0.08125
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