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Simplifying 0.3x + -2(1.6x) + -8 = 3(1.9x + -4.1) Remove parenthesis around (1.6x) 0.3x + -2 * 1.6x + -8 = 3(1.9x + -4.1) Multiply -2 * 1.6 0.3x + -3.2x + -8 = 3(1.9x + -4.1) Reorder the terms: -8 + 0.3x + -3.2x = 3(1.9x + -4.1) Combine like terms: 0.3x + -3.2x = -2.9x -8 + -2.9x = 3(1.9x + -4.1) Reorder the terms: -8 + -2.9x = 3(-4.1 + 1.9x) -8 + -2.9x = (-4.1 * 3 + 1.9x * 3) -8 + -2.9x = (-12.3 + 5.7x) Solving -8 + -2.9x = -12.3 + 5.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7x' to each side of the equation. -8 + -2.9x + -5.7x = -12.3 + 5.7x + -5.7x Combine like terms: -2.9x + -5.7x = -8.6x -8 + -8.6x = -12.3 + 5.7x + -5.7x Combine like terms: 5.7x + -5.7x = 0.0 -8 + -8.6x = -12.3 + 0.0 -8 + -8.6x = -12.3 Add '8' to each side of the equation. -8 + 8 + -8.6x = -12.3 + 8 Combine like terms: -8 + 8 = 0 0 + -8.6x = -12.3 + 8 -8.6x = -12.3 + 8 Combine like terms: -12.3 + 8 = -4.3 -8.6x = -4.3 Divide each side by '-8.6'. x = 0.5 Simplifying x = 0.5
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