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Simplifying 14x + -21 + -4(x + 5) = 8(x + -1) + 3 Reorder the terms: 14x + -21 + -4(5 + x) = 8(x + -1) + 3 14x + -21 + (5 * -4 + x * -4) = 8(x + -1) + 3 14x + -21 + (-20 + -4x) = 8(x + -1) + 3 Reorder the terms: -21 + -20 + 14x + -4x = 8(x + -1) + 3 Combine like terms: -21 + -20 = -41 -41 + 14x + -4x = 8(x + -1) + 3 Combine like terms: 14x + -4x = 10x -41 + 10x = 8(x + -1) + 3 Reorder the terms: -41 + 10x = 8(-1 + x) + 3 -41 + 10x = (-1 * 8 + x * 8) + 3 -41 + 10x = (-8 + 8x) + 3 Reorder the terms: -41 + 10x = -8 + 3 + 8x Combine like terms: -8 + 3 = -5 -41 + 10x = -5 + 8x Solving -41 + 10x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -41 + 10x + -8x = -5 + 8x + -8x Combine like terms: 10x + -8x = 2x -41 + 2x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -41 + 2x = -5 + 0 -41 + 2x = -5 Add '41' to each side of the equation. -41 + 41 + 2x = -5 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = -5 + 41 2x = -5 + 41 Combine like terms: -5 + 41 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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