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Simplifying 10x + -1(2x + -6) = 8x + 2.4x + -9 Reorder the terms: 10x + -1(-6 + 2x) = 8x + 2.4x + -9 10x + (-6 * -1 + 2x * -1) = 8x + 2.4x + -9 10x + (6 + -2x) = 8x + 2.4x + -9 Reorder the terms: 6 + 10x + -2x = 8x + 2.4x + -9 Combine like terms: 10x + -2x = 8x 6 + 8x = 8x + 2.4x + -9 Reorder the terms: 6 + 8x = -9 + 8x + 2.4x Combine like terms: 8x + 2.4x = 10.4x 6 + 8x = -9 + 10.4x Solving 6 + 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 + 8x + -10.4x = -9 + 10.4x + -10.4x Combine like terms: 8x + -10.4x = -2.4x 6 + -2.4x = -9 + 10.4x + -10.4x Combine like terms: 10.4x + -10.4x = 0.0 6 + -2.4x = -9 + 0.0 6 + -2.4x = -9 Add '-6' to each side of the equation. 6 + -6 + -2.4x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -2.4x = -9 + -6 -2.4x = -9 + -6 Combine like terms: -9 + -6 = -15 -2.4x = -15 Divide each side by '-2.4'. x = 6.25 Simplifying x = 6.25
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