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Simplifying -3(x + -2) = 4(x + 9) Reorder the terms: -3(-2 + x) = 4(x + 9) (-2 * -3 + x * -3) = 4(x + 9) (6 + -3x) = 4(x + 9) Reorder the terms: 6 + -3x = 4(9 + x) 6 + -3x = (9 * 4 + x * 4) 6 + -3x = (36 + 4x) Solving 6 + -3x = 36 + 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 = 36 + 4x + -4x Combine like terms: -3x + -4x = -7x 6 + -7x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -7x = 36 + 0 6 + -7x = 36 Add '-6' to each side of the equation. 6 + -6 + -7x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 36 + -6 -7x = 36 + -6 Combine like terms: 36 + -6 = 30 -7x = 30 Divide each side by '-7'. x = -4.285714286 Simplifying x = -4.285714286
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