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Simplifying -1(3x + 9) = 4(x + -2) + 3x Reorder the terms: -1(9 + 3x) = 4(x + -2) + 3x (9 * -1 + 3x * -1) = 4(x + -2) + 3x (-9 + -3x) = 4(x + -2) + 3x Reorder the terms: -9 + -3x = 4(-2 + x) + 3x -9 + -3x = (-2 * 4 + x * 4) + 3x -9 + -3x = (-8 + 4x) + 3x Combine like terms: 4x + 3x = 7x -9 + -3x = -8 + 7x Solving -9 + -3x = -8 + 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. -9 + -3x + -7x = -8 + 7x + -7x Combine like terms: -3x + -7x = -10x -9 + -10x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -10x = -8 + 0 -9 + -10x = -8 Add '9' to each side of the equation. -9 + 9 + -10x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = -8 + 9 -10x = -8 + 9 Combine like terms: -8 + 9 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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