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Simplifying 16 + 3x + 2(x + -4) = 10x + 13 Reorder the terms: 16 + 3x + 2(-4 + x) = 10x + 13 16 + 3x + (-4 * 2 + x * 2) = 10x + 13 16 + 3x + (-8 + 2x) = 10x + 13 Reorder the terms: 16 + -8 + 3x + 2x = 10x + 13 Combine like terms: 16 + -8 = 8 8 + 3x + 2x = 10x + 13 Combine like terms: 3x + 2x = 5x 8 + 5x = 10x + 13 Reorder the terms: 8 + 5x = 13 + 10x Solving 8 + 5x = 13 + 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. 8 + 5x + -10x = 13 + 10x + -10x Combine like terms: 5x + -10x = -5x 8 + -5x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -5x = 13 + 0 8 + -5x = 13 Add '-8' to each side of the equation. 8 + -8 + -5x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 13 + -8 -5x = 13 + -8 Combine like terms: 13 + -8 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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