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Simplifying 10x + -1(0.2x + -6) = 8x + 2.4x + -9 Reorder the terms: 10x + -1(-6 + 0.2x) = 8x + 2.4x + -9 10x + (-6 * -1 + 0.2x * -1) = 8x + 2.4x + -9 10x + (6 + -0.2x) = 8x + 2.4x + -9 Reorder the terms: 6 + 10x + -0.2x = 8x + 2.4x + -9 Combine like terms: 10x + -0.2x = 9.8x 6 + 9.8x = 8x + 2.4x + -9 Reorder the terms: 6 + 9.8x = -9 + 8x + 2.4x Combine like terms: 8x + 2.4x = 10.4x 6 + 9.8x = -9 + 10.4x Solving 6 + 9.8x = -9 + 10.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.4x' to each side of the equation. 6 + 9.8x + -10.4x = -9 + 10.4x + -10.4x Combine like terms: 9.8x + -10.4x = -0.6x 6 + -0.6x = -9 + 10.4x + -10.4x Combine like terms: 10.4x + -10.4x = 0.0 6 + -0.6x = -9 + 0.0 6 + -0.6x = -9 Add '-6' to each side of the equation. 6 + -6 + -0.6x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -0.6x = -9 + -6 -0.6x = -9 + -6 Combine like terms: -9 + -6 = -15 -0.6x = -15 Divide each side by '-0.6'. x = 25 Simplifying x = 25
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