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Simplifying 3x + 4(x + -3) = 5x + 6 Reorder the terms: 3x + 4(-3 + x) = 5x + 6 3x + (-3 * 4 + x * 4) = 5x + 6 3x + (-12 + 4x) = 5x + 6 Reorder the terms: -12 + 3x + 4x = 5x + 6 Combine like terms: 3x + 4x = 7x -12 + 7x = 5x + 6 Reorder the terms: -12 + 7x = 6 + 5x Solving -12 + 7x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 7x + -5x = 6 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = 6 + 0 -12 + 2x = 6 Add '12' to each side of the equation. -12 + 12 + 2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 6 + 12 2x = 6 + 12 Combine like terms: 6 + 12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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