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Simplifying 10.3x + 53.82 = -9.7x + 52.98 Reorder the terms: 53.82 + 10.3x = -9.7x + 52.98 Reorder the terms: 53.82 + 10.3x = 52.98 + -9.7x Solving 53.82 + 10.3x = 52.98 + -9.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.7x' to each side of the equation. 53.82 + 10.3x + 9.7x = 52.98 + -9.7x + 9.7x Combine like terms: 10.3x + 9.7x = 20x 53.82 + 20x = 52.98 + -9.7x + 9.7x Combine like terms: -9.7x + 9.7x = 0.0 53.82 + 20x = 52.98 + 0.0 53.82 + 20x = 52.98 Add '-53.82' to each side of the equation. 53.82 + -53.82 + 20x = 52.98 + -53.82 Combine like terms: 53.82 + -53.82 = 0.00 0.00 + 20x = 52.98 + -53.82 20x = 52.98 + -53.82 Combine like terms: 52.98 + -53.82 = -0.84 20x = -0.84 Divide each side by '20'. x = -0.042 Simplifying x = -0.042
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