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Simplifying -3x + -2(8 + 5x) = 11 + -3(2x + -3) -3x + (8 * -2 + 5x * -2) = 11 + -3(2x + -3) -3x + (-16 + -10x) = 11 + -3(2x + -3) Reorder the terms: -16 + -3x + -10x = 11 + -3(2x + -3) Combine like terms: -3x + -10x = -13x -16 + -13x = 11 + -3(2x + -3) Reorder the terms: -16 + -13x = 11 + -3(-3 + 2x) -16 + -13x = 11 + (-3 * -3 + 2x * -3) -16 + -13x = 11 + (9 + -6x) Combine like terms: 11 + 9 = 20 -16 + -13x = 20 + -6x Solving -16 + -13x = 20 + -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. -16 + -13x + 6x = 20 + -6x + 6x Combine like terms: -13x + 6x = -7x -16 + -7x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + -7x = 20 + 0 -16 + -7x = 20 Add '16' to each side of the equation. -16 + 16 + -7x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = 20 + 16 -7x = 20 + 16 Combine like terms: 20 + 16 = 36 -7x = 36 Divide each side by '-7'. x = -5.142857143 Simplifying x = -5.142857143
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