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Simplifying x + 21 = 4(x + -6) Reorder the terms: 21 + x = 4(x + -6) Reorder the terms: 21 + x = 4(-6 + x) 21 + x = (-6 * 4 + x * 4) 21 + x = (-24 + 4x) Solving 21 + x = -24 + 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 + x + -4x = -24 + 4x + -4x Combine like terms: x + -4x = -3x 21 + -3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -3x = -24 + 0 21 + -3x = -24 Add '-21' to each side of the equation. 21 + -21 + -3x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -24 + -21 -3x = -24 + -21 Combine like terms: -24 + -21 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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