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Simplifying 12x + 4(3x + -5) + -2 = 98 + -6x Reorder the terms: 12x + 4(-5 + 3x) + -2 = 98 + -6x 12x + (-5 * 4 + 3x * 4) + -2 = 98 + -6x 12x + (-20 + 12x) + -2 = 98 + -6x Reorder the terms: -20 + -2 + 12x + 12x = 98 + -6x Combine like terms: -20 + -2 = -22 -22 + 12x + 12x = 98 + -6x Combine like terms: 12x + 12x = 24x -22 + 24x = 98 + -6x Solving -22 + 24x = 98 + -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. -22 + 24x + 6x = 98 + -6x + 6x Combine like terms: 24x + 6x = 30x -22 + 30x = 98 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 30x = 98 + 0 -22 + 30x = 98 Add '22' to each side of the equation. -22 + 22 + 30x = 98 + 22 Combine like terms: -22 + 22 = 0 0 + 30x = 98 + 22 30x = 98 + 22 Combine like terms: 98 + 22 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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