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Simplifying 3(4x + -3) + 2x = 4 + -2x + 6x + -3 Reorder the terms: 3(-3 + 4x) + 2x = 4 + -2x + 6x + -3 (-3 * 3 + 4x * 3) + 2x = 4 + -2x + 6x + -3 (-9 + 12x) + 2x = 4 + -2x + 6x + -3 Combine like terms: 12x + 2x = 14x -9 + 14x = 4 + -2x + 6x + -3 Reorder the terms: -9 + 14x = 4 + -3 + -2x + 6x Combine like terms: 4 + -3 = 1 -9 + 14x = 1 + -2x + 6x Combine like terms: -2x + 6x = 4x -9 + 14x = 1 + 4x Solving -9 + 14x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 14x + -4x = 1 + 4x + -4x Combine like terms: 14x + -4x = 10x -9 + 10x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 10x = 1 + 0 -9 + 10x = 1 Add '9' to each side of the equation. -9 + 9 + 10x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 1 + 9 10x = 1 + 9 Combine like terms: 1 + 9 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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