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Simplifying 7x + 24 + 4x = -49 + 19x + 9 Reorder the terms: 24 + 7x + 4x = -49 + 19x + 9 Combine like terms: 7x + 4x = 11x 24 + 11x = -49 + 19x + 9 Reorder the terms: 24 + 11x = -49 + 9 + 19x Combine like terms: -49 + 9 = -40 24 + 11x = -40 + 19x Solving 24 + 11x = -40 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 24 + 11x + -19x = -40 + 19x + -19x Combine like terms: 11x + -19x = -8x 24 + -8x = -40 + 19x + -19x Combine like terms: 19x + -19x = 0 24 + -8x = -40 + 0 24 + -8x = -40 Add '-24' to each side of the equation. 24 + -24 + -8x = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -40 + -24 -8x = -40 + -24 Combine like terms: -40 + -24 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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