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