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Simplifying 3(2x + -5) + -6 = -3(4x + -5) + 2(-5 + -1x) + 14 Reorder the terms: 3(-5 + 2x) + -6 = -3(4x + -5) + 2(-5 + -1x) + 14 (-5 * 3 + 2x * 3) + -6 = -3(4x + -5) + 2(-5 + -1x) + 14 (-15 + 6x) + -6 = -3(4x + -5) + 2(-5 + -1x) + 14 Reorder the terms: -15 + -6 + 6x = -3(4x + -5) + 2(-5 + -1x) + 14 Combine like terms: -15 + -6 = -21 -21 + 6x = -3(4x + -5) + 2(-5 + -1x) + 14 Reorder the terms: -21 + 6x = -3(-5 + 4x) + 2(-5 + -1x) + 14 -21 + 6x = (-5 * -3 + 4x * -3) + 2(-5 + -1x) + 14 -21 + 6x = (15 + -12x) + 2(-5 + -1x) + 14 -21 + 6x = 15 + -12x + (-5 * 2 + -1x * 2) + 14 -21 + 6x = 15 + -12x + (-10 + -2x) + 14 Reorder the terms: -21 + 6x = 15 + -10 + 14 + -12x + -2x Combine like terms: 15 + -10 = 5 -21 + 6x = 5 + 14 + -12x + -2x Combine like terms: 5 + 14 = 19 -21 + 6x = 19 + -12x + -2x Combine like terms: -12x + -2x = -14x -21 + 6x = 19 + -14x Solving -21 + 6x = 19 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -21 + 6x + 14x = 19 + -14x + 14x Combine like terms: 6x + 14x = 20x -21 + 20x = 19 + -14x + 14x Combine like terms: -14x + 14x = 0 -21 + 20x = 19 + 0 -21 + 20x = 19 Add '21' to each side of the equation. -21 + 21 + 20x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 20x = 19 + 21 20x = 19 + 21 Combine like terms: 19 + 21 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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