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Simplifying -4x + -11 + -2(5x + -8) = 7x + 5(-3x + -9) + 68 Reorder the terms: -4x + -11 + -2(-8 + 5x) = 7x + 5(-3x + -9) + 68 -4x + -11 + (-8 * -2 + 5x * -2) = 7x + 5(-3x + -9) + 68 -4x + -11 + (16 + -10x) = 7x + 5(-3x + -9) + 68 Reorder the terms: -11 + 16 + -4x + -10x = 7x + 5(-3x + -9) + 68 Combine like terms: -11 + 16 = 5 5 + -4x + -10x = 7x + 5(-3x + -9) + 68 Combine like terms: -4x + -10x = -14x 5 + -14x = 7x + 5(-3x + -9) + 68 Reorder the terms: 5 + -14x = 7x + 5(-9 + -3x) + 68 5 + -14x = 7x + (-9 * 5 + -3x * 5) + 68 5 + -14x = 7x + (-45 + -15x) + 68 Reorder the terms: 5 + -14x = -45 + 68 + 7x + -15x Combine like terms: -45 + 68 = 23 5 + -14x = 23 + 7x + -15x Combine like terms: 7x + -15x = -8x 5 + -14x = 23 + -8x Solving 5 + -14x = 23 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5 + -14x + 8x = 23 + -8x + 8x Combine like terms: -14x + 8x = -6x 5 + -6x = 23 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + -6x = 23 + 0 5 + -6x = 23 Add '-5' to each side of the equation. 5 + -5 + -6x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 23 + -5 -6x = 23 + -5 Combine like terms: 23 + -5 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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