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Simplifying -2(3x + 4) = x + 7 Reorder the terms: -2(4 + 3x) = x + 7 (4 * -2 + 3x * -2) = x + 7 (-8 + -6x) = x + 7 Reorder the terms: -8 + -6x = 7 + x Solving -8 + -6x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -6x + -1x = 7 + x + -1x Combine like terms: -6x + -1x = -7x -8 + -7x = 7 + x + -1x Combine like terms: x + -1x = 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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