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Simplifying -1(14x + -18) + 2(8x + 16) = 4(7) Reorder the terms: -1(-18 + 14x) + 2(8x + 16) = 4(7) (-18 * -1 + 14x * -1) + 2(8x + 16) = 4(7) (18 + -14x) + 2(8x + 16) = 4(7) Reorder the terms: 18 + -14x + 2(16 + 8x) = 4(7) 18 + -14x + (16 * 2 + 8x * 2) = 4(7) 18 + -14x + (32 + 16x) = 4(7) Reorder the terms: 18 + 32 + -14x + 16x = 4(7) Combine like terms: 18 + 32 = 50 50 + -14x + 16x = 4(7) Combine like terms: -14x + 16x = 2x 50 + 2x = 4(7) Multiply 4 * 7 50 + 2x = 28 Solving 50 + 2x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 2x = 28 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 28 + -50 2x = 28 + -50 Combine like terms: 28 + -50 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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