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Simplifying -1(6x + -9) + 4(3x + 9) = 3 + 2x Reorder the terms: -1(-9 + 6x) + 4(3x + 9) = 3 + 2x (-9 * -1 + 6x * -1) + 4(3x + 9) = 3 + 2x (9 + -6x) + 4(3x + 9) = 3 + 2x Reorder the terms: 9 + -6x + 4(9 + 3x) = 3 + 2x 9 + -6x + (9 * 4 + 3x * 4) = 3 + 2x 9 + -6x + (36 + 12x) = 3 + 2x Reorder the terms: 9 + 36 + -6x + 12x = 3 + 2x Combine like terms: 9 + 36 = 45 45 + -6x + 12x = 3 + 2x Combine like terms: -6x + 12x = 6x 45 + 6x = 3 + 2x Solving 45 + 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. 45 + 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x 45 + 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 4x = 3 + 0 45 + 4x = 3 Add '-45' to each side of the equation. 45 + -45 + 4x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 3 + -45 4x = 3 + -45 Combine like terms: 3 + -45 = -42 4x = -42 Divide each side by '4'. x = -10.5 Simplifying x = -10.5
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