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Simplifying 5.2 + -4.6 + -7.1x = -2.1 + -1.9x + -2.5 Combine like terms: 5.2 + -4.6 = 0.6 0.6 + -7.1x = -2.1 + -1.9x + -2.5 Reorder the terms: 0.6 + -7.1x = -2.1 + -2.5 + -1.9x Combine like terms: -2.1 + -2.5 = -4.6 0.6 + -7.1x = -4.6 + -1.9x Solving 0.6 + -7.1x = -4.6 + -1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9x' to each side of the equation. 0.6 + -7.1x + 1.9x = -4.6 + -1.9x + 1.9x Combine like terms: -7.1x + 1.9x = -5.2x 0.6 + -5.2x = -4.6 + -1.9x + 1.9x Combine like terms: -1.9x + 1.9x = 0.0 0.6 + -5.2x = -4.6 + 0.0 0.6 + -5.2x = -4.6 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -5.2x = -4.6 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -5.2x = -4.6 + -0.6 -5.2x = -4.6 + -0.6 Combine like terms: -4.6 + -0.6 = -5.2 -5.2x = -5.2 Divide each side by '-5.2'. x = 1 Simplifying x = 1
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