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Simplifying 7x + 0.4 = -3(x + -5.6) Reorder the terms: 0.4 + 7x = -3(x + -5.6) Reorder the terms: 0.4 + 7x = -3(-5.6 + x) 0.4 + 7x = (-5.6 * -3 + x * -3) 0.4 + 7x = (16.8 + -3x) Solving 0.4 + 7x = 16.8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.4 + 7x + 3x = 16.8 + -3x + 3x Combine like terms: 7x + 3x = 10x 0.4 + 10x = 16.8 + -3x + 3x Combine like terms: -3x + 3x = 0 0.4 + 10x = 16.8 + 0 0.4 + 10x = 16.8 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 10x = 16.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 10x = 16.8 + -0.4 10x = 16.8 + -0.4 Combine like terms: 16.8 + -0.4 = 16.4 10x = 16.4 Divide each side by '10'. x = 1.64 Simplifying x = 1.64
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