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Simplifying -7x + 38 = 2(x + -8) Reorder the terms: 38 + -7x = 2(x + -8) Reorder the terms: 38 + -7x = 2(-8 + x) 38 + -7x = (-8 * 2 + x * 2) 38 + -7x = (-16 + 2x) Solving 38 + -7x = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 38 + -7x + -2x = -16 + 2x + -2x Combine like terms: -7x + -2x = -9x 38 + -9x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -9x = -16 + 0 38 + -9x = -16 Add '-38' to each side of the equation. 38 + -38 + -9x = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = -16 + -38 -9x = -16 + -38 Combine like terms: -16 + -38 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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