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