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