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Simplifying -2(6 + x) + 4 = 5x + 7 (6 * -2 + x * -2) + 4 = 5x + 7 (-12 + -2x) + 4 = 5x + 7 Reorder the terms: -12 + 4 + -2x = 5x + 7 Combine like terms: -12 + 4 = -8 -8 + -2x = 5x + 7 Reorder the terms: -8 + -2x = 7 + 5x Solving -8 + -2x = 7 + 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. -8 + -2x + -5x = 7 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = 7 + 0 -8 + -7x = 7 Add '8' to each side of the equation. -8 + 8 + -7x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 7 + 8 -7x = 7 + 8 Combine like terms: 7 + 8 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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