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Simplifying 4x + 7 = 12x + -10 Reorder the terms: 7 + 4x = 12x + -10 Reorder the terms: 7 + 4x = -10 + 12x Solving 7 + 4x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 4x + -12x = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x 7 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -8x = -10 + 0 7 + -8x = -10 Add '-7' to each side of the equation. 7 + -7 + -8x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -10 + -7 -8x = -10 + -7 Combine like terms: -10 + -7 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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