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Simplifying 3 + -4x = 4x + -2(3x + 1) Reorder the terms: 3 + -4x = 4x + -2(1 + 3x) 3 + -4x = 4x + (1 * -2 + 3x * -2) 3 + -4x = 4x + (-2 + -6x) Reorder the terms: 3 + -4x = -2 + 4x + -6x Combine like terms: 4x + -6x = -2x 3 + -4x = -2 + -2x Solving 3 + -4x = -2 + -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 = -2 + -2x + 2x Combine like terms: -4x + 2x = -2x 3 + -2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + -2x = -2 + 0 3 + -2x = -2 Add '-3' to each side of the equation. 3 + -3 + -2x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -2 + -3 -2x = -2 + -3 Combine like terms: -2 + -3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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