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Simplifying 3(x + 2) + -3(4x + 5) = 3 + -10x Reorder the terms: 3(2 + x) + -3(4x + 5) = 3 + -10x (2 * 3 + x * 3) + -3(4x + 5) = 3 + -10x (6 + 3x) + -3(4x + 5) = 3 + -10x Reorder the terms: 6 + 3x + -3(5 + 4x) = 3 + -10x 6 + 3x + (5 * -3 + 4x * -3) = 3 + -10x 6 + 3x + (-15 + -12x) = 3 + -10x Reorder the terms: 6 + -15 + 3x + -12x = 3 + -10x Combine like terms: 6 + -15 = -9 -9 + 3x + -12x = 3 + -10x Combine like terms: 3x + -12x = -9x -9 + -9x = 3 + -10x Solving -9 + -9x = 3 + -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. -9 + -9x + 10x = 3 + -10x + 10x Combine like terms: -9x + 10x = 1x -9 + 1x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 1x = 3 + 0 -9 + 1x = 3 Add '9' to each side of the equation. -9 + 9 + 1x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 3 + 9 1x = 3 + 9 Combine like terms: 3 + 9 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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