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Simplifying 5x + -1x + -12 = 10x + -24 Reorder the terms: -12 + 5x + -1x = 10x + -24 Combine like terms: 5x + -1x = 4x -12 + 4x = 10x + -24 Reorder the terms: -12 + 4x = -24 + 10x Solving -12 + 4x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 4x + -10x = -24 + 10x + -10x Combine like terms: 4x + -10x = -6x -12 + -6x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -6x = -24 + 0 -12 + -6x = -24 Add '12' to each side of the equation. -12 + 12 + -6x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -24 + 12 -6x = -24 + 12 Combine like terms: -24 + 12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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