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Simplifying 14 + -2(4x + -7) = 5x + -1(x + 21) Reorder the terms: 14 + -2(-7 + 4x) = 5x + -1(x + 21) 14 + (-7 * -2 + 4x * -2) = 5x + -1(x + 21) 14 + (14 + -8x) = 5x + -1(x + 21) Combine like terms: 14 + 14 = 28 28 + -8x = 5x + -1(x + 21) Reorder the terms: 28 + -8x = 5x + -1(21 + x) 28 + -8x = 5x + (21 * -1 + x * -1) 28 + -8x = 5x + (-21 + -1x) Reorder the terms: 28 + -8x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 28 + -8x = -21 + 4x Solving 28 + -8x = -21 + 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. 28 + -8x + -4x = -21 + 4x + -4x Combine like terms: -8x + -4x = -12x 28 + -12x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -12x = -21 + 0 28 + -12x = -21 Add '-28' to each side of the equation. 28 + -28 + -12x = -21 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = -21 + -28 -12x = -21 + -28 Combine like terms: -21 + -28 = -49 -12x = -49 Divide each side by '-12'. x = 4.083333333 Simplifying x = 4.083333333
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