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Simplifying -3x + 10 = 1x + -38 Reorder the terms: 10 + -3x = 1x + -38 Reorder the terms: 10 + -3x = -38 + 1x Solving 10 + -3x = -38 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -3x + -1x = -38 + 1x + -1x Combine like terms: -3x + -1x = -4x 10 + -4x = -38 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -4x = -38 + 0 10 + -4x = -38 Add '-10' to each side of the equation. 10 + -10 + -4x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -38 + -10 -4x = -38 + -10 Combine like terms: -38 + -10 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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