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Simplifying 2x + -18 + 3x + 12 = 13x + -30 Reorder the terms: -18 + 12 + 2x + 3x = 13x + -30 Combine like terms: -18 + 12 = -6 -6 + 2x + 3x = 13x + -30 Combine like terms: 2x + 3x = 5x -6 + 5x = 13x + -30 Reorder the terms: -6 + 5x = -30 + 13x Solving -6 + 5x = -30 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 5x + -13x = -30 + 13x + -13x Combine like terms: 5x + -13x = -8x -6 + -8x = -30 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -8x = -30 + 0 -6 + -8x = -30 Add '6' to each side of the equation. -6 + 6 + -8x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -30 + 6 -8x = -30 + 6 Combine like terms: -30 + 6 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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