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Simplifying 10(1 + -7x) = 6 + -8(2 + -3x) (1 * 10 + -7x * 10) = 6 + -8(2 + -3x) (10 + -70x) = 6 + -8(2 + -3x) 10 + -70x = 6 + (2 * -8 + -3x * -8) 10 + -70x = 6 + (-16 + 24x) Combine like terms: 6 + -16 = -10 10 + -70x = -10 + 24x Solving 10 + -70x = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 10 + -70x + -24x = -10 + 24x + -24x Combine like terms: -70x + -24x = -94x 10 + -94x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -94x = -10 + 0 10 + -94x = -10 Add '-10' to each side of the equation. 10 + -10 + -94x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -94x = -10 + -10 -94x = -10 + -10 Combine like terms: -10 + -10 = -20 -94x = -20 Divide each side by '-94'. x = 0.2127659574 Simplifying x = 0.2127659574
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