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Simplifying 5x + 6(x + -3) = 12x + 6 Reorder the terms: 5x + 6(-3 + x) = 12x + 6 5x + (-3 * 6 + x * 6) = 12x + 6 5x + (-18 + 6x) = 12x + 6 Reorder the terms: -18 + 5x + 6x = 12x + 6 Combine like terms: 5x + 6x = 11x -18 + 11x = 12x + 6 Reorder the terms: -18 + 11x = 6 + 12x Solving -18 + 11x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 11x + -12x = 6 + 12x + -12x Combine like terms: 11x + -12x = -1x -18 + -1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -1x = 6 + 0 -18 + -1x = 6 Add '18' to each side of the equation. -18 + 18 + -1x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 6 + 18 -1x = 6 + 18 Combine like terms: 6 + 18 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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