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Simplifying -16(x + -11) = 4(x + 9) Reorder the terms: -16(-11 + x) = 4(x + 9) (-11 * -16 + x * -16) = 4(x + 9) (176 + -16x) = 4(x + 9) Reorder the terms: 176 + -16x = 4(9 + x) 176 + -16x = (9 * 4 + x * 4) 176 + -16x = (36 + 4x) Solving 176 + -16x = 36 + 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. 176 + -16x + -4x = 36 + 4x + -4x Combine like terms: -16x + -4x = -20x 176 + -20x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 176 + -20x = 36 + 0 176 + -20x = 36 Add '-176' to each side of the equation. 176 + -176 + -20x = 36 + -176 Combine like terms: 176 + -176 = 0 0 + -20x = 36 + -176 -20x = 36 + -176 Combine like terms: 36 + -176 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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