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Simplifying 3(4x + -5) + -4x = 2x + 3 Reorder the terms: 3(-5 + 4x) + -4x = 2x + 3 (-5 * 3 + 4x * 3) + -4x = 2x + 3 (-15 + 12x) + -4x = 2x + 3 Combine like terms: 12x + -4x = 8x -15 + 8x = 2x + 3 Reorder the terms: -15 + 8x = 3 + 2x Solving -15 + 8x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 8x + -2x = 3 + 2x + -2x Combine like terms: 8x + -2x = 6x -15 + 6x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 6x = 3 + 0 -15 + 6x = 3 Add '15' to each side of the equation. -15 + 15 + 6x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 3 + 15 6x = 3 + 15 Combine like terms: 3 + 15 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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