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Simplifying -1x + 38 = -7x + -1(x + -3) Reorder the terms: 38 + -1x = -7x + -1(x + -3) Reorder the terms: 38 + -1x = -7x + -1(-3 + x) 38 + -1x = -7x + (-3 * -1 + x * -1) 38 + -1x = -7x + (3 + -1x) Reorder the terms: 38 + -1x = 3 + -7x + -1x Combine like terms: -7x + -1x = -8x 38 + -1x = 3 + -8x Solving 38 + -1x = 3 + -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. 38 + -1x + 8x = 3 + -8x + 8x Combine like terms: -1x + 8x = 7x 38 + 7x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 7x = 3 + 0 38 + 7x = 3 Add '-38' to each side of the equation. 38 + -38 + 7x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = 3 + -38 7x = 3 + -38 Combine like terms: 3 + -38 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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