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Simplifying 2x + 5 = 3(4x + -5) + 2x Reorder the terms: 5 + 2x = 3(4x + -5) + 2x Reorder the terms: 5 + 2x = 3(-5 + 4x) + 2x 5 + 2x = (-5 * 3 + 4x * 3) + 2x 5 + 2x = (-15 + 12x) + 2x Combine like terms: 12x + 2x = 14x 5 + 2x = -15 + 14x Solving 5 + 2x = -15 + 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. 5 + 2x + -14x = -15 + 14x + -14x Combine like terms: 2x + -14x = -12x 5 + -12x = -15 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -12x = -15 + 0 5 + -12x = -15 Add '-5' to each side of the equation. 5 + -5 + -12x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -15 + -5 -12x = -15 + -5 Combine like terms: -15 + -5 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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