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Simplifying 5x + -2(3x + 4) = -2x + -6 Reorder the terms: 5x + -2(4 + 3x) = -2x + -6 5x + (4 * -2 + 3x * -2) = -2x + -6 5x + (-8 + -6x) = -2x + -6 Reorder the terms: -8 + 5x + -6x = -2x + -6 Combine like terms: 5x + -6x = -1x -8 + -1x = -2x + -6 Reorder the terms: -8 + -1x = -6 + -2x Solving -8 + -1x = -6 + -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. -8 + -1x + 2x = -6 + -2x + 2x Combine like terms: -1x + 2x = 1x -8 + 1x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 1x = -6 + 0 -8 + 1x = -6 Add '8' to each side of the equation. -8 + 8 + 1x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -6 + 8 1x = -6 + 8 Combine like terms: -6 + 8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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