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Simplifying 12 + 5(7 + -6x) = 5 + -16x 12 + (7 * 5 + -6x * 5) = 5 + -16x 12 + (35 + -30x) = 5 + -16x Combine like terms: 12 + 35 = 47 47 + -30x = 5 + -16x Solving 47 + -30x = 5 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 47 + -30x + 16x = 5 + -16x + 16x Combine like terms: -30x + 16x = -14x 47 + -14x = 5 + -16x + 16x Combine like terms: -16x + 16x = 0 47 + -14x = 5 + 0 47 + -14x = 5 Add '-47' to each side of the equation. 47 + -47 + -14x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -14x = 5 + -47 -14x = 5 + -47 Combine like terms: 5 + -47 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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