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Simplifying 4(3x + -1) + -3(x + 2) = 7x + 6 Reorder the terms: 4(-1 + 3x) + -3(x + 2) = 7x + 6 (-1 * 4 + 3x * 4) + -3(x + 2) = 7x + 6 (-4 + 12x) + -3(x + 2) = 7x + 6 Reorder the terms: -4 + 12x + -3(2 + x) = 7x + 6 -4 + 12x + (2 * -3 + x * -3) = 7x + 6 -4 + 12x + (-6 + -3x) = 7x + 6 Reorder the terms: -4 + -6 + 12x + -3x = 7x + 6 Combine like terms: -4 + -6 = -10 -10 + 12x + -3x = 7x + 6 Combine like terms: 12x + -3x = 9x -10 + 9x = 7x + 6 Reorder the terms: -10 + 9x = 6 + 7x Solving -10 + 9x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 9x + -7x = 6 + 7x + -7x Combine like terms: 9x + -7x = 2x -10 + 2x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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