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Simplifying -6x + 12 = 10x + 7 Reorder the terms: 12 + -6x = 10x + 7 Reorder the terms: 12 + -6x = 7 + 10x Solving 12 + -6x = 7 + 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 + -6x + -10x = 7 + 10x + -10x Combine like terms: -6x + -10x = -16x 12 + -16x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -16x = 7 + 0 12 + -16x = 7 Add '-12' to each side of the equation. 12 + -12 + -16x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 7 + -12 -16x = 7 + -12 Combine like terms: 7 + -12 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125
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