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Simplifying 5(x + -2) + -2 = 2(6x + 12) Reorder the terms: 5(-2 + x) + -2 = 2(6x + 12) (-2 * 5 + x * 5) + -2 = 2(6x + 12) (-10 + 5x) + -2 = 2(6x + 12) Reorder the terms: -10 + -2 + 5x = 2(6x + 12) Combine like terms: -10 + -2 = -12 -12 + 5x = 2(6x + 12) Reorder the terms: -12 + 5x = 2(12 + 6x) -12 + 5x = (12 * 2 + 6x * 2) -12 + 5x = (24 + 12x) Solving -12 + 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. -12 + 5x + -12x = 24 + 12x + -12x Combine like terms: 5x + -12x = -7x -12 + -7x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -7x = 24 + 0 -12 + -7x = 24 Add '12' to each side of the equation. -12 + 12 + -7x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 24 + 12 -7x = 24 + 12 Combine like terms: 24 + 12 = 36 -7x = 36 Divide each side by '-7'. x = -5.142857143 Simplifying x = -5.142857143
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