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Simplifying 5x + 3(x + -2) = 6x + -12 Reorder the terms: 5x + 3(-2 + x) = 6x + -12 5x + (-2 * 3 + x * 3) = 6x + -12 5x + (-6 + 3x) = 6x + -12 Reorder the terms: -6 + 5x + 3x = 6x + -12 Combine like terms: 5x + 3x = 8x -6 + 8x = 6x + -12 Reorder the terms: -6 + 8x = -12 + 6x Solving -6 + 8x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = -12 + 0 -6 + 2x = -12 Add '6' to each side of the equation. -6 + 6 + 2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -12 + 6 2x = -12 + 6 Combine like terms: -12 + 6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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