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Simplifying 5x + -3(x + -2) = x + -12 Reorder the terms: 5x + -3(-2 + x) = x + -12 5x + (-2 * -3 + x * -3) = x + -12 5x + (6 + -3x) = x + -12 Reorder the terms: 6 + 5x + -3x = x + -12 Combine like terms: 5x + -3x = 2x 6 + 2x = x + -12 Reorder the terms: 6 + 2x = -12 + x Solving 6 + 2x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 2x + -1x = -12 + x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = -12 + x + -1x Combine like terms: x + -1x = 0 6 + 1x = -12 + 0 6 + 1x = -12 Add '-6' to each side of the equation. 6 + -6 + 1x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -12 + -6 1x = -12 + -6 Combine like terms: -12 + -6 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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