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Simplifying 14 + -1(4x + -7) = 5x + -1(x + 21) Reorder the terms: 14 + -1(-7 + 4x) = 5x + -1(x + 21) 14 + (-7 * -1 + 4x * -1) = 5x + -1(x + 21) 14 + (7 + -4x) = 5x + -1(x + 21) Combine like terms: 14 + 7 = 21 21 + -4x = 5x + -1(x + 21) Reorder the terms: 21 + -4x = 5x + -1(21 + x) 21 + -4x = 5x + (21 * -1 + x * -1) 21 + -4x = 5x + (-21 + -1x) Reorder the terms: 21 + -4x = -21 + 5x + -1x Combine like terms: 5x + -1x = 4x 21 + -4x = -21 + 4x Solving 21 + -4x = -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. 21 + -4x + -4x = -21 + 4x + -4x Combine like terms: -4x + -4x = -8x 21 + -8x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -8x = -21 + 0 21 + -8x = -21 Add '-21' to each side of the equation. 21 + -21 + -8x = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = -21 + -21 -8x = -21 + -21 Combine like terms: -21 + -21 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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