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Simplifying 16(x + -6) = 14(x + 44) Reorder the terms: 16(-6 + x) = 14(x + 44) (-6 * 16 + x * 16) = 14(x + 44) (-96 + 16x) = 14(x + 44) Reorder the terms: -96 + 16x = 14(44 + x) -96 + 16x = (44 * 14 + x * 14) -96 + 16x = (616 + 14x) Solving -96 + 16x = 616 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -96 + 16x + -14x = 616 + 14x + -14x Combine like terms: 16x + -14x = 2x -96 + 2x = 616 + 14x + -14x Combine like terms: 14x + -14x = 0 -96 + 2x = 616 + 0 -96 + 2x = 616 Add '96' to each side of the equation. -96 + 96 + 2x = 616 + 96 Combine like terms: -96 + 96 = 0 0 + 2x = 616 + 96 2x = 616 + 96 Combine like terms: 616 + 96 = 712 2x = 712 Divide each side by '2'. x = 356 Simplifying x = 356
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