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Simplifying 3x + 3(x + -1) = 4x + -4(2x + 8) Reorder the terms: 3x + 3(-1 + x) = 4x + -4(2x + 8) 3x + (-1 * 3 + x * 3) = 4x + -4(2x + 8) 3x + (-3 + 3x) = 4x + -4(2x + 8) Reorder the terms: -3 + 3x + 3x = 4x + -4(2x + 8) Combine like terms: 3x + 3x = 6x -3 + 6x = 4x + -4(2x + 8) Reorder the terms: -3 + 6x = 4x + -4(8 + 2x) -3 + 6x = 4x + (8 * -4 + 2x * -4) -3 + 6x = 4x + (-32 + -8x) Reorder the terms: -3 + 6x = -32 + 4x + -8x Combine like terms: 4x + -8x = -4x -3 + 6x = -32 + -4x Solving -3 + 6x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 6x + 4x = -32 + -4x + 4x Combine like terms: 6x + 4x = 10x -3 + 10x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 10x = -32 + 0 -3 + 10x = -32 Add '3' to each side of the equation. -3 + 3 + 10x = -32 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = -32 + 3 10x = -32 + 3 Combine like terms: -32 + 3 = -29 10x = -29 Divide each side by '10'. x = -2.9 Simplifying x = -2.9
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