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Simplifying 3x + 5 + -13x = 16 + -5 + 8x + 3 Reorder the terms: 5 + 3x + -13x = 16 + -5 + 8x + 3 Combine like terms: 3x + -13x = -10x 5 + -10x = 16 + -5 + 8x + 3 Reorder the terms: 5 + -10x = 16 + -5 + 3 + 8x Combine like terms: 16 + -5 = 11 5 + -10x = 11 + 3 + 8x Combine like terms: 11 + 3 = 14 5 + -10x = 14 + 8x Solving 5 + -10x = 14 + 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. 5 + -10x + -8x = 14 + 8x + -8x Combine like terms: -10x + -8x = -18x 5 + -18x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -18x = 14 + 0 5 + -18x = 14 Add '-5' to each side of the equation. 5 + -5 + -18x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -18x = 14 + -5 -18x = 14 + -5 Combine like terms: 14 + -5 = 9 -18x = 9 Divide each side by '-18'. x = -0.5 Simplifying x = -0.5
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