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Simplifying 4x + -3(2x + 8) + -7 = 12x + 5 Reorder the terms: 4x + -3(8 + 2x) + -7 = 12x + 5 4x + (8 * -3 + 2x * -3) + -7 = 12x + 5 4x + (-24 + -6x) + -7 = 12x + 5 Reorder the terms: -24 + -7 + 4x + -6x = 12x + 5 Combine like terms: -24 + -7 = -31 -31 + 4x + -6x = 12x + 5 Combine like terms: 4x + -6x = -2x -31 + -2x = 12x + 5 Reorder the terms: -31 + -2x = 5 + 12x Solving -31 + -2x = 5 + 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. -31 + -2x + -12x = 5 + 12x + -12x Combine like terms: -2x + -12x = -14x -31 + -14x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -31 + -14x = 5 + 0 -31 + -14x = 5 Add '31' to each side of the equation. -31 + 31 + -14x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -14x = 5 + 31 -14x = 5 + 31 Combine like terms: 5 + 31 = 36 -14x = 36 Divide each side by '-14'. x = -2.571428571 Simplifying x = -2.571428571
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