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Simplifying 3x + 6 = -2(1.5 + -1x) Reorder the terms: 6 + 3x = -2(1.5 + -1x) 6 + 3x = (1.5 * -2 + -1x * -2) 6 + 3x = (-3 + 2x) Solving 6 + 3x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 3x + -2x = -3 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = -3 + 0 6 + 1x = -3 Add '-6' to each side of the equation. 6 + -6 + 1x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -3 + -6 1x = -3 + -6 Combine like terms: -3 + -6 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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