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Simplifying 3(2x + -5) + 4 = 3x + 7 Reorder the terms: 3(-5 + 2x) + 4 = 3x + 7 (-5 * 3 + 2x * 3) + 4 = 3x + 7 (-15 + 6x) + 4 = 3x + 7 Reorder the terms: -15 + 4 + 6x = 3x + 7 Combine like terms: -15 + 4 = -11 -11 + 6x = 3x + 7 Reorder the terms: -11 + 6x = 7 + 3x Solving -11 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x -11 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 3x = 7 + 0 -11 + 3x = 7 Add '11' to each side of the equation. -11 + 11 + 3x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 7 + 11 3x = 7 + 11 Combine like terms: 7 + 11 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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