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Simplifying -3(x + -2) = 4(x + 4) Reorder the terms: -3(-2 + x) = 4(x + 4) (-2 * -3 + x * -3) = 4(x + 4) (6 + -3x) = 4(x + 4) Reorder the terms: 6 + -3x = 4(4 + x) 6 + -3x = (4 * 4 + x * 4) 6 + -3x = (16 + 4x) Solving 6 + -3x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -3x + -4x = 16 + 4x + -4x Combine like terms: -3x + -4x = -7x 6 + -7x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -7x = 16 + 0 6 + -7x = 16 Add '-6' to each side of the equation. 6 + -6 + -7x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 16 + -6 -7x = 16 + -6 Combine like terms: 16 + -6 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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