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Simplifying 6x + -2(5x + 1) = 2x + 4 Reorder the terms: 6x + -2(1 + 5x) = 2x + 4 6x + (1 * -2 + 5x * -2) = 2x + 4 6x + (-2 + -10x) = 2x + 4 Reorder the terms: -2 + 6x + -10x = 2x + 4 Combine like terms: 6x + -10x = -4x -2 + -4x = 2x + 4 Reorder the terms: -2 + -4x = 4 + 2x Solving -2 + -4x = 4 + 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. -2 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x -2 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -6x = 4 + 0 -2 + -6x = 4 Add '2' to each side of the equation. -2 + 2 + -6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 4 + 2 -6x = 4 + 2 Combine like terms: 4 + 2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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