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Simplifying -4x + 3 = 2x + 51 Reorder the terms: 3 + -4x = 2x + 51 Reorder the terms: 3 + -4x = 51 + 2x Solving 3 + -4x = 51 + 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. 3 + -4x + -2x = 51 + 2x + -2x Combine like terms: -4x + -2x = -6x 3 + -6x = 51 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -6x = 51 + 0 3 + -6x = 51 Add '-3' to each side of the equation. 3 + -3 + -6x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 51 + -3 -6x = 51 + -3 Combine like terms: 51 + -3 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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