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Simplifying 0.2x + 3.1 + -2.1x = 0.3(x + -5) + 0.2 Reorder the terms: 3.1 + 0.2x + -2.1x = 0.3(x + -5) + 0.2 Combine like terms: 0.2x + -2.1x = -1.9x 3.1 + -1.9x = 0.3(x + -5) + 0.2 Reorder the terms: 3.1 + -1.9x = 0.3(-5 + x) + 0.2 3.1 + -1.9x = (-5 * 0.3 + x * 0.3) + 0.2 3.1 + -1.9x = (-1.5 + 0.3x) + 0.2 Reorder the terms: 3.1 + -1.9x = -1.5 + 0.2 + 0.3x Combine like terms: -1.5 + 0.2 = -1.3 3.1 + -1.9x = -1.3 + 0.3x Solving 3.1 + -1.9x = -1.3 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 3.1 + -1.9x + -0.3x = -1.3 + 0.3x + -0.3x Combine like terms: -1.9x + -0.3x = -2.2x 3.1 + -2.2x = -1.3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3.1 + -2.2x = -1.3 + 0.0 3.1 + -2.2x = -1.3 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -2.2x = -1.3 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -2.2x = -1.3 + -3.1 -2.2x = -1.3 + -3.1 Combine like terms: -1.3 + -3.1 = -4.4 -2.2x = -4.4 Divide each side by '-2.2'. x = 2 Simplifying x = 2
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