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Simplifying x + 61 = 4x + -2 Reorder the terms: 61 + x = 4x + -2 Reorder the terms: 61 + x = -2 + 4x Solving 61 + x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 61 + x + -4x = -2 + 4x + -4x Combine like terms: x + -4x = -3x 61 + -3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 61 + -3x = -2 + 0 61 + -3x = -2 Add '-61' to each side of the equation. 61 + -61 + -3x = -2 + -61 Combine like terms: 61 + -61 = 0 0 + -3x = -2 + -61 -3x = -2 + -61 Combine like terms: -2 + -61 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21