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Simplifying 6 + -2(3 + -1x) + 4 = 3(5 + x) + (-8x) + -16 + (-2) 6 + (3 * -2 + -1x * -2) + 4 = 3(5 + x) + (-8x) + -16 + (-2) 6 + (-6 + 2x) + 4 = 3(5 + x) + (-8x) + -16 + (-2) Reorder the terms: 6 + -6 + 4 + 2x = 3(5 + x) + (-8x) + -16 + (-2) Combine like terms: 6 + -6 = 0 0 + 4 + 2x = 3(5 + x) + (-8x) + -16 + (-2) 4 + 2x = 3(5 + x) + (-8x) + -16 + (-2) 4 + 2x = (5 * 3 + x * 3) + (-8x) + -16 + (-2) 4 + 2x = (15 + 3x) + (-8x) + -16 + (-2) 4 + 2x = 15 + 3x + (-8x) + -16 + -2 Reorder the terms: 4 + 2x = 15 + -16 + -2 + 3x + (-8x) Combine like terms: 15 + -16 = -1 4 + 2x = -1 + -2 + 3x + (-8x) Combine like terms: -1 + -2 = -3 4 + 2x = -3 + 3x + (-8x) Combine like terms: 3x + (-8x) = -5x 4 + 2x = -3 + -5x Solving 4 + 2x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 2x + 5x = -3 + -5x + 5x Combine like terms: 2x + 5x = 7x 4 + 7x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 7x = -3 + 0 4 + 7x = -3 Add '-4' to each side of the equation. 4 + -4 + 7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -3 + -4 7x = -3 + -4 Combine like terms: -3 + -4 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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