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Simplifying 3x + -6(2x + -3) = 4x + -2 Reorder the terms: 3x + -6(-3 + 2x) = 4x + -2 3x + (-3 * -6 + 2x * -6) = 4x + -2 3x + (18 + -12x) = 4x + -2 Reorder the terms: 18 + 3x + -12x = 4x + -2 Combine like terms: 3x + -12x = -9x 18 + -9x = 4x + -2 Reorder the terms: 18 + -9x = -2 + 4x Solving 18 + -9x = -2 + 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. 18 + -9x + -4x = -2 + 4x + -4x Combine like terms: -9x + -4x = -13x 18 + -13x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -13x = -2 + 0 18 + -13x = -2 Add '-18' to each side of the equation. 18 + -18 + -13x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = -2 + -18 -13x = -2 + -18 Combine like terms: -2 + -18 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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