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Simplifying 8 + -3(2x + 3) = 4x + 3(x + -9) Reorder the terms: 8 + -3(3 + 2x) = 4x + 3(x + -9) 8 + (3 * -3 + 2x * -3) = 4x + 3(x + -9) 8 + (-9 + -6x) = 4x + 3(x + -9) Combine like terms: 8 + -9 = -1 -1 + -6x = 4x + 3(x + -9) Reorder the terms: -1 + -6x = 4x + 3(-9 + x) -1 + -6x = 4x + (-9 * 3 + x * 3) -1 + -6x = 4x + (-27 + 3x) Reorder the terms: -1 + -6x = -27 + 4x + 3x Combine like terms: 4x + 3x = 7x -1 + -6x = -27 + 7x Solving -1 + -6x = -27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -6x + -7x = -27 + 7x + -7x Combine like terms: -6x + -7x = -13x -1 + -13x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -13x = -27 + 0 -1 + -13x = -27 Add '1' to each side of the equation. -1 + 1 + -13x = -27 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = -27 + 1 -13x = -27 + 1 Combine like terms: -27 + 1 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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