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Simplifying 5(3x + -4) = 6x + 7 Reorder the terms: 5(-4 + 3x) = 6x + 7 (-4 * 5 + 3x * 5) = 6x + 7 (-20 + 15x) = 6x + 7 Reorder the terms: -20 + 15x = 7 + 6x Solving -20 + 15x = 7 + 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. -20 + 15x + -6x = 7 + 6x + -6x Combine like terms: 15x + -6x = 9x -20 + 9x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 9x = 7 + 0 -20 + 9x = 7 Add '20' to each side of the equation. -20 + 20 + 9x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 7 + 20 9x = 7 + 20 Combine like terms: 7 + 20 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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