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Simplifying -2(6x + 8) + 7 = 3x + -2(12 + 4x) Reorder the terms: -2(8 + 6x) + 7 = 3x + -2(12 + 4x) (8 * -2 + 6x * -2) + 7 = 3x + -2(12 + 4x) (-16 + -12x) + 7 = 3x + -2(12 + 4x) Reorder the terms: -16 + 7 + -12x = 3x + -2(12 + 4x) Combine like terms: -16 + 7 = -9 -9 + -12x = 3x + -2(12 + 4x) -9 + -12x = 3x + (12 * -2 + 4x * -2) -9 + -12x = 3x + (-24 + -8x) Reorder the terms: -9 + -12x = -24 + 3x + -8x Combine like terms: 3x + -8x = -5x -9 + -12x = -24 + -5x Solving -9 + -12x = -24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + -12x + 5x = -24 + -5x + 5x Combine like terms: -12x + 5x = -7x -9 + -7x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + -7x = -24 + 0 -9 + -7x = -24 Add '9' to each side of the equation. -9 + 9 + -7x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -24 + 9 -7x = -24 + 9 Combine like terms: -24 + 9 = -15 -7x = -15 Divide each side by '-7'. x = 2.142857143 Simplifying x = 2.142857143
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