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Simplifying 5.3x + 2 + -4.1x = 3.6x + -1.66 Reorder the terms: 2 + 5.3x + -4.1x = 3.6x + -1.66 Combine like terms: 5.3x + -4.1x = 1.2x 2 + 1.2x = 3.6x + -1.66 Reorder the terms: 2 + 1.2x = -1.66 + 3.6x Solving 2 + 1.2x = -1.66 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 2 + 1.2x + -3.6x = -1.66 + 3.6x + -3.6x Combine like terms: 1.2x + -3.6x = -2.4x 2 + -2.4x = -1.66 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 2 + -2.4x = -1.66 + 0.0 2 + -2.4x = -1.66 Add '-2' to each side of the equation. 2 + -2 + -2.4x = -1.66 + -2 Combine like terms: 2 + -2 = 0 0 + -2.4x = -1.66 + -2 -2.4x = -1.66 + -2 Combine like terms: -1.66 + -2 = -3.66 -2.4x = -3.66 Divide each side by '-2.4'. x = 1.525 Simplifying x = 1.525
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