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Simplifying 5(x + -2) + 3(x + 1) = 16 + -3x Reorder the terms: 5(-2 + x) + 3(x + 1) = 16 + -3x (-2 * 5 + x * 5) + 3(x + 1) = 16 + -3x (-10 + 5x) + 3(x + 1) = 16 + -3x Reorder the terms: -10 + 5x + 3(1 + x) = 16 + -3x -10 + 5x + (1 * 3 + x * 3) = 16 + -3x -10 + 5x + (3 + 3x) = 16 + -3x Reorder the terms: -10 + 3 + 5x + 3x = 16 + -3x Combine like terms: -10 + 3 = -7 -7 + 5x + 3x = 16 + -3x Combine like terms: 5x + 3x = 8x -7 + 8x = 16 + -3x Solving -7 + 8x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 8x + 3x = 16 + -3x + 3x Combine like terms: 8x + 3x = 11x -7 + 11x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 11x = 16 + 0 -7 + 11x = 16 Add '7' to each side of the equation. -7 + 7 + 11x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 16 + 7 11x = 16 + 7 Combine like terms: 16 + 7 = 23 11x = 23 Divide each side by '11'. x = 2.090909091 Simplifying x = 2.090909091
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