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Simplifying 2(6x + -5) + 4 = 3(2x + -1) + 12 Reorder the terms: 2(-5 + 6x) + 4 = 3(2x + -1) + 12 (-5 * 2 + 6x * 2) + 4 = 3(2x + -1) + 12 (-10 + 12x) + 4 = 3(2x + -1) + 12 Reorder the terms: -10 + 4 + 12x = 3(2x + -1) + 12 Combine like terms: -10 + 4 = -6 -6 + 12x = 3(2x + -1) + 12 Reorder the terms: -6 + 12x = 3(-1 + 2x) + 12 -6 + 12x = (-1 * 3 + 2x * 3) + 12 -6 + 12x = (-3 + 6x) + 12 Reorder the terms: -6 + 12x = -3 + 12 + 6x Combine like terms: -3 + 12 = 9 -6 + 12x = 9 + 6x Solving -6 + 12x = 9 + 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. -6 + 12x + -6x = 9 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 9 + 0 -6 + 6x = 9 Add '6' to each side of the equation. -6 + 6 + 6x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 9 + 6 6x = 9 + 6 Combine like terms: 9 + 6 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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