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Simplifying 4x + 2(x + 2) = -3 + 5x + 1 Reorder the terms: 4x + 2(2 + x) = -3 + 5x + 1 4x + (2 * 2 + x * 2) = -3 + 5x + 1 4x + (4 + 2x) = -3 + 5x + 1 Reorder the terms: 4 + 4x + 2x = -3 + 5x + 1 Combine like terms: 4x + 2x = 6x 4 + 6x = -3 + 5x + 1 Reorder the terms: 4 + 6x = -3 + 1 + 5x Combine like terms: -3 + 1 = -2 4 + 6x = -2 + 5x Solving 4 + 6x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = -2 + 0 4 + 1x = -2 Add '-4' to each side of the equation. 4 + -4 + 1x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -2 + -4 1x = -2 + -4 Combine like terms: -2 + -4 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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