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Simplifying 44 + -3(4 + -2x) = 10(2 + -3x) 44 + (4 * -3 + -2x * -3) = 10(2 + -3x) 44 + (-12 + 6x) = 10(2 + -3x) Combine like terms: 44 + -12 = 32 32 + 6x = 10(2 + -3x) 32 + 6x = (2 * 10 + -3x * 10) 32 + 6x = (20 + -30x) Solving 32 + 6x = 20 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 32 + 6x + 30x = 20 + -30x + 30x Combine like terms: 6x + 30x = 36x 32 + 36x = 20 + -30x + 30x Combine like terms: -30x + 30x = 0 32 + 36x = 20 + 0 32 + 36x = 20 Add '-32' to each side of the equation. 32 + -32 + 36x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 36x = 20 + -32 36x = 20 + -32 Combine like terms: 20 + -32 = -12 36x = -12 Divide each side by '36'. x = -0.3333333333 Simplifying x = -0.3333333333
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