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Simplifying 3(x + -4) = 5 + -2(x + -6) Reorder the terms: 3(-4 + x) = 5 + -2(x + -6) (-4 * 3 + x * 3) = 5 + -2(x + -6) (-12 + 3x) = 5 + -2(x + -6) Reorder the terms: -12 + 3x = 5 + -2(-6 + x) -12 + 3x = 5 + (-6 * -2 + x * -2) -12 + 3x = 5 + (12 + -2x) Combine like terms: 5 + 12 = 17 -12 + 3x = 17 + -2x Solving -12 + 3x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 3x + 2x = 17 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 17 + 0 -12 + 5x = 17 Add '12' to each side of the equation. -12 + 12 + 5x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 17 + 12 5x = 17 + 12 Combine like terms: 17 + 12 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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