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Simplifying 7x + -4 = 6(5x + 7) Reorder the terms: -4 + 7x = 6(5x + 7) Reorder the terms: -4 + 7x = 6(7 + 5x) -4 + 7x = (7 * 6 + 5x * 6) -4 + 7x = (42 + 30x) Solving -4 + 7x = 42 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -4 + 7x + -30x = 42 + 30x + -30x Combine like terms: 7x + -30x = -23x -4 + -23x = 42 + 30x + -30x Combine like terms: 30x + -30x = 0 -4 + -23x = 42 + 0 -4 + -23x = 42 Add '4' to each side of the equation. -4 + 4 + -23x = 42 + 4 Combine like terms: -4 + 4 = 0 0 + -23x = 42 + 4 -23x = 42 + 4 Combine like terms: 42 + 4 = 46 -23x = 46 Divide each side by '-23'. x = -2 Simplifying x = -2
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