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Simplifying x + 19 + 4x = -24 + -4x + -29 Reorder the terms: 19 + x + 4x = -24 + -4x + -29 Combine like terms: x + 4x = 5x 19 + 5x = -24 + -4x + -29 Reorder the terms: 19 + 5x = -24 + -29 + -4x Combine like terms: -24 + -29 = -53 19 + 5x = -53 + -4x Solving 19 + 5x = -53 + -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. 19 + 5x + 4x = -53 + -4x + 4x Combine like terms: 5x + 4x = 9x 19 + 9x = -53 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 9x = -53 + 0 19 + 9x = -53 Add '-19' to each side of the equation. 19 + -19 + 9x = -53 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = -53 + -19 9x = -53 + -19 Combine like terms: -53 + -19 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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