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Simplifying -7(x + 8) + -42 = 3 + -38 Reorder the terms: -7(8 + x) + -42 = 3 + -38 (8 * -7 + x * -7) + -42 = 3 + -38 (-56 + -7x) + -42 = 3 + -38 Reorder the terms: -56 + -42 + -7x = 3 + -38 Combine like terms: -56 + -42 = -98 -98 + -7x = 3 + -38 Combine like terms: 3 + -38 = -35 -98 + -7x = -35 Solving -98 + -7x = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + -7x = -35 + 98 Combine like terms: -98 + 98 = 0 0 + -7x = -35 + 98 -7x = -35 + 98 Combine like terms: -35 + 98 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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