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Simplifying 0.2x + -2(2.1x) + -5 = 3(1.7x + -3.1) Remove parenthesis around (2.1x) 0.2x + -2 * 2.1x + -5 = 3(1.7x + -3.1) Multiply -2 * 2.1 0.2x + -4.2x + -5 = 3(1.7x + -3.1) Reorder the terms: -5 + 0.2x + -4.2x = 3(1.7x + -3.1) Combine like terms: 0.2x + -4.2x = -4x -5 + -4x = 3(1.7x + -3.1) Reorder the terms: -5 + -4x = 3(-3.1 + 1.7x) -5 + -4x = (-3.1 * 3 + 1.7x * 3) -5 + -4x = (-9.3 + 5.1x) Solving -5 + -4x = -9.3 + 5.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1x' to each side of the equation. -5 + -4x + -5.1x = -9.3 + 5.1x + -5.1x Combine like terms: -4x + -5.1x = -9.1x -5 + -9.1x = -9.3 + 5.1x + -5.1x Combine like terms: 5.1x + -5.1x = 0.0 -5 + -9.1x = -9.3 + 0.0 -5 + -9.1x = -9.3 Add '5' to each side of the equation. -5 + 5 + -9.1x = -9.3 + 5 Combine like terms: -5 + 5 = 0 0 + -9.1x = -9.3 + 5 -9.1x = -9.3 + 5 Combine like terms: -9.3 + 5 = -4.3 -9.1x = -4.3 Divide each side by '-9.1'. x = 0.4725274725 Simplifying x = 0.4725274725
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