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Simplifying -38 + -5x = -2(6x + -4) + 3 Reorder the terms: -38 + -5x = -2(-4 + 6x) + 3 -38 + -5x = (-4 * -2 + 6x * -2) + 3 -38 + -5x = (8 + -12x) + 3 Reorder the terms: -38 + -5x = 8 + 3 + -12x Combine like terms: 8 + 3 = 11 -38 + -5x = 11 + -12x Solving -38 + -5x = 11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -38 + -5x + 12x = 11 + -12x + 12x Combine like terms: -5x + 12x = 7x -38 + 7x = 11 + -12x + 12x Combine like terms: -12x + 12x = 0 -38 + 7x = 11 + 0 -38 + 7x = 11 Add '38' to each side of the equation. -38 + 38 + 7x = 11 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 11 + 38 7x = 11 + 38 Combine like terms: 11 + 38 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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