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Simplifying -4(x + 6) = x + 2x + -7 Reorder the terms: -4(6 + x) = x + 2x + -7 (6 * -4 + x * -4) = x + 2x + -7 (-24 + -4x) = x + 2x + -7 Reorder the terms: -24 + -4x = -7 + x + 2x Combine like terms: x + 2x = 3x -24 + -4x = -7 + 3x Solving -24 + -4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + -4x + -3x = -7 + 3x + -3x Combine like terms: -4x + -3x = -7x -24 + -7x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -7x = -7 + 0 -24 + -7x = -7 Add '24' to each side of the equation. -24 + 24 + -7x = -7 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = -7 + 24 -7x = -7 + 24 Combine like terms: -7 + 24 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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