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Simplifying -5x + 38 = -6(x + -7) Reorder the terms: 38 + -5x = -6(x + -7) Reorder the terms: 38 + -5x = -6(-7 + x) 38 + -5x = (-7 * -6 + x * -6) 38 + -5x = (42 + -6x) Solving 38 + -5x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + -5x + 6x = 42 + -6x + 6x Combine like terms: -5x + 6x = 1x 38 + 1x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 1x = 42 + 0 38 + 1x = 42 Add '-38' to each side of the equation. 38 + -38 + 1x = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 42 + -38 1x = 42 + -38 Combine like terms: 42 + -38 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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