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Simplifying 16(x + 6) = -4(x + 44) Reorder the terms: 16(6 + x) = -4(x + 44) (6 * 16 + x * 16) = -4(x + 44) (96 + 16x) = -4(x + 44) Reorder the terms: 96 + 16x = -4(44 + x) 96 + 16x = (44 * -4 + x * -4) 96 + 16x = (-176 + -4x) Solving 96 + 16x = -176 + -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. 96 + 16x + 4x = -176 + -4x + 4x Combine like terms: 16x + 4x = 20x 96 + 20x = -176 + -4x + 4x Combine like terms: -4x + 4x = 0 96 + 20x = -176 + 0 96 + 20x = -176 Add '-96' to each side of the equation. 96 + -96 + 20x = -176 + -96 Combine like terms: 96 + -96 = 0 0 + 20x = -176 + -96 20x = -176 + -96 Combine like terms: -176 + -96 = -272 20x = -272 Divide each side by '20'. x = -13.6 Simplifying x = -13.6
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