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Simplifying 5x + -3(x + -4) = 2(-6) Reorder the terms: 5x + -3(-4 + x) = 2(-6) 5x + (-4 * -3 + x * -3) = 2(-6) 5x + (12 + -3x) = 2(-6) Reorder the terms: 12 + 5x + -3x = 2(-6) Combine like terms: 5x + -3x = 2x 12 + 2x = 2(-6) Multiply 2 * -6 12 + 2x = -12 Solving 12 + 2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -12 + -12 2x = -12 + -12 Combine like terms: -12 + -12 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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