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Simplifying 3(2x + -5) + 6 = 4x + 7 Reorder the terms: 3(-5 + 2x) + 6 = 4x + 7 (-5 * 3 + 2x * 3) + 6 = 4x + 7 (-15 + 6x) + 6 = 4x + 7 Reorder the terms: -15 + 6 + 6x = 4x + 7 Combine like terms: -15 + 6 = -9 -9 + 6x = 4x + 7 Reorder the terms: -9 + 6x = 7 + 4x Solving -9 + 6x = 7 + 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. -9 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x -9 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 2x = 7 + 0 -9 + 2x = 7 Add '9' to each side of the equation. -9 + 9 + 2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 7 + 9 2x = 7 + 9 Combine like terms: 7 + 9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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