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Simplifying 2x + -10 + 2x + 18 + 3x = -1x + 12 + 3x + -24 Reorder the terms: -10 + 18 + 2x + 2x + 3x = -1x + 12 + 3x + -24 Combine like terms: -10 + 18 = 8 8 + 2x + 2x + 3x = -1x + 12 + 3x + -24 Combine like terms: 2x + 2x = 4x 8 + 4x + 3x = -1x + 12 + 3x + -24 Combine like terms: 4x + 3x = 7x 8 + 7x = -1x + 12 + 3x + -24 Reorder the terms: 8 + 7x = 12 + -24 + -1x + 3x Combine like terms: 12 + -24 = -12 8 + 7x = -12 + -1x + 3x Combine like terms: -1x + 3x = 2x 8 + 7x = -12 + 2x Solving 8 + 7x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 7x + -2x = -12 + 2x + -2x Combine like terms: 7x + -2x = 5x 8 + 5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = -12 + 0 8 + 5x = -12 Add '-8' to each side of the equation. 8 + -8 + 5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -12 + -8 5x = -12 + -8 Combine like terms: -12 + -8 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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