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Simplifying 12x + 5 + 3(2x + -3) = 4(x + 5) + 2x + 6 Reorder the terms: 12x + 5 + 3(-3 + 2x) = 4(x + 5) + 2x + 6 12x + 5 + (-3 * 3 + 2x * 3) = 4(x + 5) + 2x + 6 12x + 5 + (-9 + 6x) = 4(x + 5) + 2x + 6 Reorder the terms: 5 + -9 + 12x + 6x = 4(x + 5) + 2x + 6 Combine like terms: 5 + -9 = -4 -4 + 12x + 6x = 4(x + 5) + 2x + 6 Combine like terms: 12x + 6x = 18x -4 + 18x = 4(x + 5) + 2x + 6 Reorder the terms: -4 + 18x = 4(5 + x) + 2x + 6 -4 + 18x = (5 * 4 + x * 4) + 2x + 6 -4 + 18x = (20 + 4x) + 2x + 6 Reorder the terms: -4 + 18x = 20 + 6 + 4x + 2x Combine like terms: 20 + 6 = 26 -4 + 18x = 26 + 4x + 2x Combine like terms: 4x + 2x = 6x -4 + 18x = 26 + 6x Solving -4 + 18x = 26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 18x + -6x = 26 + 6x + -6x Combine like terms: 18x + -6x = 12x -4 + 12x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 12x = 26 + 0 -4 + 12x = 26 Add '4' to each side of the equation. -4 + 4 + 12x = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 26 + 4 12x = 26 + 4 Combine like terms: 26 + 4 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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