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Simplifying -6x + 38 = -2(x + -7) Reorder the terms: 38 + -6x = -2(x + -7) Reorder the terms: 38 + -6x = -2(-7 + x) 38 + -6x = (-7 * -2 + x * -2) 38 + -6x = (14 + -2x) Solving 38 + -6x = 14 + -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 + -6x + 2x = 14 + -2x + 2x Combine like terms: -6x + 2x = -4x 38 + -4x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + -4x = 14 + 0 38 + -4x = 14 Add '-38' to each side of the equation. 38 + -38 + -4x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 14 + -38 -4x = 14 + -38 Combine like terms: 14 + -38 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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