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Simplifying 3(2 + -6) + 4x = 5(x + 4) + -9 Combine like terms: 2 + -6 = -4 3(-4) + 4x = 5(x + 4) + -9 Multiply 3 * -4 -12 + 4x = 5(x + 4) + -9 Reorder the terms: -12 + 4x = 5(4 + x) + -9 -12 + 4x = (4 * 5 + x * 5) + -9 -12 + 4x = (20 + 5x) + -9 Reorder the terms: -12 + 4x = 20 + -9 + 5x Combine like terms: 20 + -9 = 11 -12 + 4x = 11 + 5x Solving -12 + 4x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 4x + -5x = 11 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 11 + 0 -12 + -1x = 11 Add '12' to each side of the equation. -12 + 12 + -1x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 11 + 12 -1x = 11 + 12 Combine like terms: 11 + 12 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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