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Simplifying 14(x + -4) + 1 = 4(x + 1) + 21 Reorder the terms: 14(-4 + x) + 1 = 4(x + 1) + 21 (-4 * 14 + x * 14) + 1 = 4(x + 1) + 21 (-56 + 14x) + 1 = 4(x + 1) + 21 Reorder the terms: -56 + 1 + 14x = 4(x + 1) + 21 Combine like terms: -56 + 1 = -55 -55 + 14x = 4(x + 1) + 21 Reorder the terms: -55 + 14x = 4(1 + x) + 21 -55 + 14x = (1 * 4 + x * 4) + 21 -55 + 14x = (4 + 4x) + 21 Reorder the terms: -55 + 14x = 4 + 21 + 4x Combine like terms: 4 + 21 = 25 -55 + 14x = 25 + 4x Solving -55 + 14x = 25 + 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. -55 + 14x + -4x = 25 + 4x + -4x Combine like terms: 14x + -4x = 10x -55 + 10x = 25 + 4x + -4x Combine like terms: 4x + -4x = 0 -55 + 10x = 25 + 0 -55 + 10x = 25 Add '55' to each side of the equation. -55 + 55 + 10x = 25 + 55 Combine like terms: -55 + 55 = 0 0 + 10x = 25 + 55 10x = 25 + 55 Combine like terms: 25 + 55 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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