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Simplifying 9x + -3(x + -2) = 2(x + -3) + 9 Reorder the terms: 9x + -3(-2 + x) = 2(x + -3) + 9 9x + (-2 * -3 + x * -3) = 2(x + -3) + 9 9x + (6 + -3x) = 2(x + -3) + 9 Reorder the terms: 6 + 9x + -3x = 2(x + -3) + 9 Combine like terms: 9x + -3x = 6x 6 + 6x = 2(x + -3) + 9 Reorder the terms: 6 + 6x = 2(-3 + x) + 9 6 + 6x = (-3 * 2 + x * 2) + 9 6 + 6x = (-6 + 2x) + 9 Reorder the terms: 6 + 6x = -6 + 9 + 2x Combine like terms: -6 + 9 = 3 6 + 6x = 3 + 2x Solving 6 + 6x = 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 + 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = 3 + 0 6 + 4x = 3 Add '-6' to each side of the equation. 6 + -6 + 4x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 3 + -6 4x = 3 + -6 Combine like terms: 3 + -6 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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