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Simplifying -5x + 38 = 3(x + -6) Reorder the terms: 38 + -5x = 3(x + -6) Reorder the terms: 38 + -5x = 3(-6 + x) 38 + -5x = (-6 * 3 + x * 3) 38 + -5x = (-18 + 3x) Solving 38 + -5x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + -5x + -3x = -18 + 3x + -3x Combine like terms: -5x + -3x = -8x 38 + -8x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -8x = -18 + 0 38 + -8x = -18 Add '-38' to each side of the equation. 38 + -38 + -8x = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = -18 + -38 -8x = -18 + -38 Combine like terms: -18 + -38 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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