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Simplifying 4.9(4.9x + -4) = -4x + 5.3 Reorder the terms: 4.9(-4 + 4.9x) = -4x + 5.3 (-4 * 4.9 + 4.9x * 4.9) = -4x + 5.3 (-19.6 + 24.01x) = -4x + 5.3 Reorder the terms: -19.6 + 24.01x = 5.3 + -4x Solving -19.6 + 24.01x = 5.3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -19.6 + 24.01x + 4x = 5.3 + -4x + 4x Combine like terms: 24.01x + 4x = 28.01x -19.6 + 28.01x = 5.3 + -4x + 4x Combine like terms: -4x + 4x = 0 -19.6 + 28.01x = 5.3 + 0 -19.6 + 28.01x = 5.3 Add '19.6' to each side of the equation. -19.6 + 19.6 + 28.01x = 5.3 + 19.6 Combine like terms: -19.6 + 19.6 = 0.0 0.0 + 28.01x = 5.3 + 19.6 28.01x = 5.3 + 19.6 Combine like terms: 5.3 + 19.6 = 24.9 28.01x = 24.9 Divide each side by '28.01'. x = 0.8889682256 Simplifying x = 0.8889682256
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