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Simplifying 12x + -28 = 66 + -1(4x + -18) Reorder the terms: -28 + 12x = 66 + -1(4x + -18) Reorder the terms: -28 + 12x = 66 + -1(-18 + 4x) -28 + 12x = 66 + (-18 * -1 + 4x * -1) -28 + 12x = 66 + (18 + -4x) Combine like terms: 66 + 18 = 84 -28 + 12x = 84 + -4x Solving -28 + 12x = 84 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -28 + 12x + 4x = 84 + -4x + 4x Combine like terms: 12x + 4x = 16x -28 + 16x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 16x = 84 + 0 -28 + 16x = 84 Add '28' to each side of the equation. -28 + 28 + 16x = 84 + 28 Combine like terms: -28 + 28 = 0 0 + 16x = 84 + 28 16x = 84 + 28 Combine like terms: 84 + 28 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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