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Simplifying 1 * 2(-4 + 6x) = 1 * 3x + 2 * 3(x + 9) Multiply 1 * 2 2(-4 + 6x) = 1 * 3x + 2 * 3(x + 9) (-4 * 2 + 6x * 2) = 1 * 3x + 2 * 3(x + 9) (-8 + 12x) = 1 * 3x + 2 * 3(x + 9) Multiply 1 * 3 -8 + 12x = 3x + 2 * 3(x + 9) Reorder the terms: -8 + 12x = 3x + 2 * 3(9 + x) Multiply 2 * 3 -8 + 12x = 3x + 6(9 + x) -8 + 12x = 3x + (9 * 6 + x * 6) -8 + 12x = 3x + (54 + 6x) Reorder the terms: -8 + 12x = 54 + 3x + 6x Combine like terms: 3x + 6x = 9x -8 + 12x = 54 + 9x Solving -8 + 12x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 12x + -9x = 54 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = 54 + 0 -8 + 3x = 54 Add '8' to each side of the equation. -8 + 8 + 3x = 54 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 54 + 8 3x = 54 + 8 Combine like terms: 54 + 8 = 62 3x = 62 Divide each side by '3'. x = 20.66666667 Simplifying x = 20.66666667
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