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Simplifying 3x + -12 = 10x + -15 + -6x + 10 Reorder the terms: -12 + 3x = 10x + -15 + -6x + 10 Reorder the terms: -12 + 3x = -15 + 10 + 10x + -6x Combine like terms: -15 + 10 = -5 -12 + 3x = -5 + 10x + -6x Combine like terms: 10x + -6x = 4x -12 + 3x = -5 + 4x Solving -12 + 3x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x -12 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -1x = -5 + 0 -12 + -1x = -5 Add '12' to each side of the equation. -12 + 12 + -1x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -5 + 12 -1x = -5 + 12 Combine like terms: -5 + 12 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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