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Simplifying -182 = 6x + -4(3x + 29) Reorder the terms: -182 = 6x + -4(29 + 3x) -182 = 6x + (29 * -4 + 3x * -4) -182 = 6x + (-116 + -12x) Reorder the terms: -182 = -116 + 6x + -12x Combine like terms: 6x + -12x = -6x -182 = -116 + -6x Solving -182 = -116 + -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. -182 + 6x = -116 + -6x + 6x Combine like terms: -6x + 6x = 0 -182 + 6x = -116 + 0 -182 + 6x = -116 Add '182' to each side of the equation. -182 + 182 + 6x = -116 + 182 Combine like terms: -182 + 182 = 0 0 + 6x = -116 + 182 6x = -116 + 182 Combine like terms: -116 + 182 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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