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Simplifying 16x + 3(2 + -1x) = 5x + 10(1 + x) 16x + (2 * 3 + -1x * 3) = 5x + 10(1 + x) 16x + (6 + -3x) = 5x + 10(1 + x) Reorder the terms: 6 + 16x + -3x = 5x + 10(1 + x) Combine like terms: 16x + -3x = 13x 6 + 13x = 5x + 10(1 + x) 6 + 13x = 5x + (1 * 10 + x * 10) 6 + 13x = 5x + (10 + 10x) Reorder the terms: 6 + 13x = 10 + 5x + 10x Combine like terms: 5x + 10x = 15x 6 + 13x = 10 + 15x Solving 6 + 13x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 13x + -15x = 10 + 15x + -15x Combine like terms: 13x + -15x = -2x 6 + -2x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -2x = 10 + 0 6 + -2x = 10 Add '-6' to each side of the equation. 6 + -6 + -2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 10 + -6 -2x = 10 + -6 Combine like terms: 10 + -6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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