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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 = 12x -96 + 12x = 176 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + 12x = 176 + 0 -96 + 12x = 176 Add '96' to each side of the equation. -96 + 96 + 12x = 176 + 96 Combine like terms: -96 + 96 = 0 0 + 12x = 176 + 96 12x = 176 + 96 Combine like terms: 176 + 96 = 272 12x = 272 Divide each side by '12'. x = 22.66666667 Simplifying x = 22.66666667
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