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