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Simplifying 5x + 16 + 10x + -11 = 2(3x + -2) Reorder the terms: 16 + -11 + 5x + 10x = 2(3x + -2) Combine like terms: 16 + -11 = 5 5 + 5x + 10x = 2(3x + -2) Combine like terms: 5x + 10x = 15x 5 + 15x = 2(3x + -2) Reorder the terms: 5 + 15x = 2(-2 + 3x) 5 + 15x = (-2 * 2 + 3x * 2) 5 + 15x = (-4 + 6x) Solving 5 + 15x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 15x + -6x = -4 + 6x + -6x Combine like terms: 15x + -6x = 9x 5 + 9x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 9x = -4 + 0 5 + 9x = -4 Add '-5' to each side of the equation. 5 + -5 + 9x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -4 + -5 9x = -4 + -5 Combine like terms: -4 + -5 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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