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Simplifying 4x + -17 + -6x + 24 = 19 + -8x Reorder the terms: -17 + 24 + 4x + -6x = 19 + -8x Combine like terms: -17 + 24 = 7 7 + 4x + -6x = 19 + -8x Combine like terms: 4x + -6x = -2x 7 + -2x = 19 + -8x Solving 7 + -2x = 19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + -2x + 8x = 19 + -8x + 8x Combine like terms: -2x + 8x = 6x 7 + 6x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 6x = 19 + 0 7 + 6x = 19 Add '-7' to each side of the equation. 7 + -7 + 6x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 19 + -7 6x = 19 + -7 Combine like terms: 19 + -7 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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