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Simplifying -6 + -4(2x + 3) = 3x + 4 Reorder the terms: -6 + -4(3 + 2x) = 3x + 4 -6 + (3 * -4 + 2x * -4) = 3x + 4 -6 + (-12 + -8x) = 3x + 4 Combine like terms: -6 + -12 = -18 -18 + -8x = 3x + 4 Reorder the terms: -18 + -8x = 4 + 3x Solving -18 + -8x = 4 + 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. -18 + -8x + -3x = 4 + 3x + -3x Combine like terms: -8x + -3x = -11x -18 + -11x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -11x = 4 + 0 -18 + -11x = 4 Add '18' to each side of the equation. -18 + 18 + -11x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -11x = 4 + 18 -11x = 4 + 18 Combine like terms: 4 + 18 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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