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Simplifying 1.3x + -0.1 + 0.7 = 0.28 + 1.9x + -0.44 + -1.7 Reorder the terms: -0.1 + 0.7 + 1.3x = 0.28 + 1.9x + -0.44 + -1.7 Combine like terms: -0.1 + 0.7 = 0.6 0.6 + 1.3x = 0.28 + 1.9x + -0.44 + -1.7 Reorder the terms: 0.6 + 1.3x = 0.28 + -0.44 + -1.7 + 1.9x Combine like terms: 0.28 + -0.44 = -0.16 0.6 + 1.3x = -0.16 + -1.7 + 1.9x Combine like terms: -0.16 + -1.7 = -1.86 0.6 + 1.3x = -1.86 + 1.9x Solving 0.6 + 1.3x = -1.86 + 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 + 1.3x + -1.9x = -1.86 + 1.9x + -1.9x Combine like terms: 1.3x + -1.9x = -0.6x 0.6 + -0.6x = -1.86 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 0.6 + -0.6x = -1.86 + 0.0 0.6 + -0.6x = -1.86 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.6x = -1.86 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.6x = -1.86 + -0.6 -0.6x = -1.86 + -0.6 Combine like terms: -1.86 + -0.6 = -2.46 -0.6x = -2.46 Divide each side by '-0.6'. x = 4.1 Simplifying x = 4.1
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