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Simplifying 12x + 7 + -2x + 6 = 7(2x + -5) Reorder the terms: 7 + 6 + 12x + -2x = 7(2x + -5) Combine like terms: 7 + 6 = 13 13 + 12x + -2x = 7(2x + -5) Combine like terms: 12x + -2x = 10x 13 + 10x = 7(2x + -5) Reorder the terms: 13 + 10x = 7(-5 + 2x) 13 + 10x = (-5 * 7 + 2x * 7) 13 + 10x = (-35 + 14x) Solving 13 + 10x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 13 + 10x + -14x = -35 + 14x + -14x Combine like terms: 10x + -14x = -4x 13 + -4x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -4x = -35 + 0 13 + -4x = -35 Add '-13' to each side of the equation. 13 + -13 + -4x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -35 + -13 -4x = -35 + -13 Combine like terms: -35 + -13 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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