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Simplifying -4.3x + 3.4(3 + 7x) = 9.8 + 19.9x -4.3x + (3 * 3.4 + 7x * 3.4) = 9.8 + 19.9x -4.3x + (10.2 + 23.8x) = 9.8 + 19.9x Reorder the terms: 10.2 + -4.3x + 23.8x = 9.8 + 19.9x Combine like terms: -4.3x + 23.8x = 19.5x 10.2 + 19.5x = 9.8 + 19.9x Solving 10.2 + 19.5x = 9.8 + 19.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.9x' to each side of the equation. 10.2 + 19.5x + -19.9x = 9.8 + 19.9x + -19.9x Combine like terms: 19.5x + -19.9x = -0.4x 10.2 + -0.4x = 9.8 + 19.9x + -19.9x Combine like terms: 19.9x + -19.9x = 0.0 10.2 + -0.4x = 9.8 + 0.0 10.2 + -0.4x = 9.8 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -0.4x = 9.8 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -0.4x = 9.8 + -10.2 -0.4x = 9.8 + -10.2 Combine like terms: 9.8 + -10.2 = -0.4 -0.4x = -0.4 Divide each side by '-0.4'. x = 1 Simplifying x = 1
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