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Simplifying 4.2x + -3.5 = 2.1(5x + 8) Reorder the terms: -3.5 + 4.2x = 2.1(5x + 8) Reorder the terms: -3.5 + 4.2x = 2.1(8 + 5x) -3.5 + 4.2x = (8 * 2.1 + 5x * 2.1) -3.5 + 4.2x = (16.8 + 10.5x) Solving -3.5 + 4.2x = 16.8 + 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. -3.5 + 4.2x + -10.5x = 16.8 + 10.5x + -10.5x Combine like terms: 4.2x + -10.5x = -6.3x -3.5 + -6.3x = 16.8 + 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 -3.5 + -6.3x = 16.8 + 0.0 -3.5 + -6.3x = 16.8 Add '3.5' to each side of the equation. -3.5 + 3.5 + -6.3x = 16.8 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -6.3x = 16.8 + 3.5 -6.3x = 16.8 + 3.5 Combine like terms: 16.8 + 3.5 = 20.3 -6.3x = 20.3 Divide each side by '-6.3'. x = -3.222222222 Simplifying x = -3.222222222
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