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Simplifying 5x + -2 = 4(3x + 6) Reorder the terms: -2 + 5x = 4(3x + 6) Reorder the terms: -2 + 5x = 4(6 + 3x) -2 + 5x = (6 * 4 + 3x * 4) -2 + 5x = (24 + 12x) Solving -2 + 5x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 5x + -12x = 24 + 12x + -12x Combine like terms: 5x + -12x = -7x -2 + -7x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -7x = 24 + 0 -2 + -7x = 24 Add '2' to each side of the equation. -2 + 2 + -7x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 24 + 2 -7x = 24 + 2 Combine like terms: 24 + 2 = 26 -7x = 26 Divide each side by '-7'. x = -3.714285714 Simplifying x = -3.714285714
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