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Simplifying 0.4x + 9 = 6(0.3x + -1) Reorder the terms: 9 + 0.4x = 6(0.3x + -1) Reorder the terms: 9 + 0.4x = 6(-1 + 0.3x) 9 + 0.4x = (-1 * 6 + 0.3x * 6) 9 + 0.4x = (-6 + 1.8x) Solving 9 + 0.4x = -6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 9 + 0.4x + -1.8x = -6 + 1.8x + -1.8x Combine like terms: 0.4x + -1.8x = -1.4x 9 + -1.4x = -6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 9 + -1.4x = -6 + 0.0 9 + -1.4x = -6 Add '-9' to each side of the equation. 9 + -9 + -1.4x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -1.4x = -6 + -9 -1.4x = -6 + -9 Combine like terms: -6 + -9 = -15 -1.4x = -15 Divide each side by '-1.4'. x = 10.71428571 Simplifying x = 10.71428571
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