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Simplifying 5x + -12 = 30 + 6(x + -3) Reorder the terms: -12 + 5x = 30 + 6(x + -3) Reorder the terms: -12 + 5x = 30 + 6(-3 + x) -12 + 5x = 30 + (-3 * 6 + x * 6) -12 + 5x = 30 + (-18 + 6x) Combine like terms: 30 + -18 = 12 -12 + 5x = 12 + 6x Solving -12 + 5x = 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. -12 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = 12 + 0 -12 + -1x = 12 Add '12' to each side of the equation. -12 + 12 + -1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 12 + 12 -1x = 12 + 12 Combine like terms: 12 + 12 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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