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Simplifying 11x + -16 = 15 + 5(3x + 1) Reorder the terms: -16 + 11x = 15 + 5(3x + 1) Reorder the terms: -16 + 11x = 15 + 5(1 + 3x) -16 + 11x = 15 + (1 * 5 + 3x * 5) -16 + 11x = 15 + (5 + 15x) Combine like terms: 15 + 5 = 20 -16 + 11x = 20 + 15x Solving -16 + 11x = 20 + 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. -16 + 11x + -15x = 20 + 15x + -15x Combine like terms: 11x + -15x = -4x -16 + -4x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 -16 + -4x = 20 + 0 -16 + -4x = 20 Add '16' to each side of the equation. -16 + 16 + -4x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 20 + 16 -4x = 20 + 16 Combine like terms: 20 + 16 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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