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Simplifying 5x + 14 + 3x + -8 = 10x + -24 Reorder the terms: 14 + -8 + 5x + 3x = 10x + -24 Combine like terms: 14 + -8 = 6 6 + 5x + 3x = 10x + -24 Combine like terms: 5x + 3x = 8x 6 + 8x = 10x + -24 Reorder the terms: 6 + 8x = -24 + 10x Solving 6 + 8x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 8x + -10x = -24 + 10x + -10x Combine like terms: 8x + -10x = -2x 6 + -2x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -2x = -24 + 0 6 + -2x = -24 Add '-6' to each side of the equation. 6 + -6 + -2x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -24 + -6 -2x = -24 + -6 Combine like terms: -24 + -6 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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