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Simplifying 4(3x + -7) = 6x + 5 Reorder the terms: 4(-7 + 3x) = 6x + 5 (-7 * 4 + 3x * 4) = 6x + 5 (-28 + 12x) = 6x + 5 Reorder the terms: -28 + 12x = 5 + 6x Solving -28 + 12x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 12x + -6x = 5 + 6x + -6x Combine like terms: 12x + -6x = 6x -28 + 6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 6x = 5 + 0 -28 + 6x = 5 Add '28' to each side of the equation. -28 + 28 + 6x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 5 + 28 6x = 5 + 28 Combine like terms: 5 + 28 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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