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Simplifying 6.2(x + -2) + 9 = 5.8x + 4.9 Reorder the terms: 6.2(-2 + x) + 9 = 5.8x + 4.9 (-2 * 6.2 + x * 6.2) + 9 = 5.8x + 4.9 (-12.4 + 6.2x) + 9 = 5.8x + 4.9 Reorder the terms: -12.4 + 9 + 6.2x = 5.8x + 4.9 Combine like terms: -12.4 + 9 = -3.4 -3.4 + 6.2x = 5.8x + 4.9 Reorder the terms: -3.4 + 6.2x = 4.9 + 5.8x Solving -3.4 + 6.2x = 4.9 + 5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8x' to each side of the equation. -3.4 + 6.2x + -5.8x = 4.9 + 5.8x + -5.8x Combine like terms: 6.2x + -5.8x = 0.4x -3.4 + 0.4x = 4.9 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 -3.4 + 0.4x = 4.9 + 0.0 -3.4 + 0.4x = 4.9 Add '3.4' to each side of the equation. -3.4 + 3.4 + 0.4x = 4.9 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 0.4x = 4.9 + 3.4 0.4x = 4.9 + 3.4 Combine like terms: 4.9 + 3.4 = 8.3 0.4x = 8.3 Divide each side by '0.4'. x = 20.75 Simplifying x = 20.75
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