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Simplifying 3(x + -5) + -1 = 11 + -2(x + 1) Reorder the terms: 3(-5 + x) + -1 = 11 + -2(x + 1) (-5 * 3 + x * 3) + -1 = 11 + -2(x + 1) (-15 + 3x) + -1 = 11 + -2(x + 1) Reorder the terms: -15 + -1 + 3x = 11 + -2(x + 1) Combine like terms: -15 + -1 = -16 -16 + 3x = 11 + -2(x + 1) Reorder the terms: -16 + 3x = 11 + -2(1 + x) -16 + 3x = 11 + (1 * -2 + x * -2) -16 + 3x = 11 + (-2 + -2x) Combine like terms: 11 + -2 = 9 -16 + 3x = 9 + -2x Solving -16 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -16 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 5x = 9 + 0 -16 + 5x = 9 Add '16' to each side of the equation. -16 + 16 + 5x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 9 + 16 5x = 9 + 16 Combine like terms: 9 + 16 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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