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Simplifying 6x + 12 = 12(12 + -12x) + 32 Reorder the terms: 12 + 6x = 12(12 + -12x) + 32 12 + 6x = (12 * 12 + -12x * 12) + 32 12 + 6x = (144 + -144x) + 32 Reorder the terms: 12 + 6x = 144 + 32 + -144x Combine like terms: 144 + 32 = 176 12 + 6x = 176 + -144x Solving 12 + 6x = 176 + -144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144x' to each side of the equation. 12 + 6x + 144x = 176 + -144x + 144x Combine like terms: 6x + 144x = 150x 12 + 150x = 176 + -144x + 144x Combine like terms: -144x + 144x = 0 12 + 150x = 176 + 0 12 + 150x = 176 Add '-12' to each side of the equation. 12 + -12 + 150x = 176 + -12 Combine like terms: 12 + -12 = 0 0 + 150x = 176 + -12 150x = 176 + -12 Combine like terms: 176 + -12 = 164 150x = 164 Divide each side by '150'. x = 1.093333333 Simplifying x = 1.093333333
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