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Simplifying -3(2x + -4) + -3(2x + -10) = -4x + -5(2x + -1) + -6x + 2 Reorder the terms: -3(-4 + 2x) + -3(2x + -10) = -4x + -5(2x + -1) + -6x + 2 (-4 * -3 + 2x * -3) + -3(2x + -10) = -4x + -5(2x + -1) + -6x + 2 (12 + -6x) + -3(2x + -10) = -4x + -5(2x + -1) + -6x + 2 Reorder the terms: 12 + -6x + -3(-10 + 2x) = -4x + -5(2x + -1) + -6x + 2 12 + -6x + (-10 * -3 + 2x * -3) = -4x + -5(2x + -1) + -6x + 2 12 + -6x + (30 + -6x) = -4x + -5(2x + -1) + -6x + 2 Reorder the terms: 12 + 30 + -6x + -6x = -4x + -5(2x + -1) + -6x + 2 Combine like terms: 12 + 30 = 42 42 + -6x + -6x = -4x + -5(2x + -1) + -6x + 2 Combine like terms: -6x + -6x = -12x 42 + -12x = -4x + -5(2x + -1) + -6x + 2 Reorder the terms: 42 + -12x = -4x + -5(-1 + 2x) + -6x + 2 42 + -12x = -4x + (-1 * -5 + 2x * -5) + -6x + 2 42 + -12x = -4x + (5 + -10x) + -6x + 2 Reorder the terms: 42 + -12x = 5 + 2 + -4x + -10x + -6x Combine like terms: 5 + 2 = 7 42 + -12x = 7 + -4x + -10x + -6x Combine like terms: -4x + -10x = -14x 42 + -12x = 7 + -14x + -6x Combine like terms: -14x + -6x = -20x 42 + -12x = 7 + -20x Solving 42 + -12x = 7 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 42 + -12x + 20x = 7 + -20x + 20x Combine like terms: -12x + 20x = 8x 42 + 8x = 7 + -20x + 20x Combine like terms: -20x + 20x = 0 42 + 8x = 7 + 0 42 + 8x = 7 Add '-42' to each side of the equation. 42 + -42 + 8x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 7 + -42 8x = 7 + -42 Combine like terms: 7 + -42 = -35 8x = -35 Divide each side by '8'. x = -4.375 Simplifying x = -4.375
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