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Simplifying 5x + 1.6 + -2.9x = 0.7x + -6.1 Reorder the terms: 1.6 + 5x + -2.9x = 0.7x + -6.1 Combine like terms: 5x + -2.9x = 2.1x 1.6 + 2.1x = 0.7x + -6.1 Reorder the terms: 1.6 + 2.1x = -6.1 + 0.7x Solving 1.6 + 2.1x = -6.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 1.6 + 2.1x + -0.7x = -6.1 + 0.7x + -0.7x Combine like terms: 2.1x + -0.7x = 1.4x 1.6 + 1.4x = -6.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 1.6 + 1.4x = -6.1 + 0.0 1.6 + 1.4x = -6.1 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 1.4x = -6.1 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1.4x = -6.1 + -1.6 1.4x = -6.1 + -1.6 Combine like terms: -6.1 + -1.6 = -7.7 1.4x = -7.7 Divide each side by '1.4'. x = -5.5 Simplifying x = -5.5
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