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Simplifying x + 18 + 4x = -21 + -4x + -24 Reorder the terms: 18 + x + 4x = -21 + -4x + -24 Combine like terms: x + 4x = 5x 18 + 5x = -21 + -4x + -24 Reorder the terms: 18 + 5x = -21 + -24 + -4x Combine like terms: -21 + -24 = -45 18 + 5x = -45 + -4x Solving 18 + 5x = -45 + -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. 18 + 5x + 4x = -45 + -4x + 4x Combine like terms: 5x + 4x = 9x 18 + 9x = -45 + -4x + 4x Combine like terms: -4x + 4x = 0 18 + 9x = -45 + 0 18 + 9x = -45 Add '-18' to each side of the equation. 18 + -18 + 9x = -45 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = -45 + -18 9x = -45 + -18 Combine like terms: -45 + -18 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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