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Simplifying 5x + -6 + 3x = 29 + -11 + 10x Reorder the terms: -6 + 5x + 3x = 29 + -11 + 10x Combine like terms: 5x + 3x = 8x -6 + 8x = 29 + -11 + 10x Combine like terms: 29 + -11 = 18 -6 + 8x = 18 + 10x Solving -6 + 8x = 18 + 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 = 18 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = 18 + 0 -6 + -2x = 18 Add '6' to each side of the equation. -6 + 6 + -2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 18 + 6 -2x = 18 + 6 Combine like terms: 18 + 6 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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