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Simplifying 48 + -2(-3x + 4) = 2(2x + -2) Reorder the terms: 48 + -2(4 + -3x) = 2(2x + -2) 48 + (4 * -2 + -3x * -2) = 2(2x + -2) 48 + (-8 + 6x) = 2(2x + -2) Combine like terms: 48 + -8 = 40 40 + 6x = 2(2x + -2) Reorder the terms: 40 + 6x = 2(-2 + 2x) 40 + 6x = (-2 * 2 + 2x * 2) 40 + 6x = (-4 + 4x) Solving 40 + 6x = -4 + 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. 40 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x 40 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 2x = -4 + 0 40 + 2x = -4 Add '-40' to each side of the equation. 40 + -40 + 2x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = -4 + -40 2x = -4 + -40 Combine like terms: -4 + -40 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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