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Simplifying 3(4x + -3) + 3 = 10x + 2 Reorder the terms: 3(-3 + 4x) + 3 = 10x + 2 (-3 * 3 + 4x * 3) + 3 = 10x + 2 (-9 + 12x) + 3 = 10x + 2 Reorder the terms: -9 + 3 + 12x = 10x + 2 Combine like terms: -9 + 3 = -6 -6 + 12x = 10x + 2 Reorder the terms: -6 + 12x = 2 + 10x Solving -6 + 12x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 12x + -10x = 2 + 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = 2 + 0 -6 + 2x = 2 Add '6' to each side of the equation. -6 + 6 + 2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 2 + 6 2x = 2 + 6 Combine like terms: 2 + 6 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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