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Simplifying 15(-0.4) + 14 = 2(5x + -0.4 + 6) Multiply 15 * -0.4 -6 + 14 = 2(5x + -0.4 + 6) Combine like terms: -6 + 14 = 8 8 = 2(5x + -0.4 + 6) Reorder the terms: 8 = 2(-0.4 + 6 + 5x) Combine like terms: -0.4 + 6 = 5.6 8 = 2(5.6 + 5x) 8 = (5.6 * 2 + 5x * 2) 8 = (11.2 + 10x) Solving 8 = 11.2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + -10x = 11.2 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -10x = 11.2 + 0 8 + -10x = 11.2 Add '-8' to each side of the equation. 8 + -8 + -10x = 11.2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 11.2 + -8 -10x = 11.2 + -8 Combine like terms: 11.2 + -8 = 3.2 -10x = 3.2 Divide each side by '-10'. x = -0.32 Simplifying x = -0.32
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