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Simplifying 8(x + -6) + -4(x + -1) + 3x = 0 Reorder the terms: 8(-6 + x) + -4(x + -1) + 3x = 0 (-6 * 8 + x * 8) + -4(x + -1) + 3x = 0 (-48 + 8x) + -4(x + -1) + 3x = 0 Reorder the terms: -48 + 8x + -4(-1 + x) + 3x = 0 -48 + 8x + (-1 * -4 + x * -4) + 3x = 0 -48 + 8x + (4 + -4x) + 3x = 0 Reorder the terms: -48 + 4 + 8x + -4x + 3x = 0 Combine like terms: -48 + 4 = -44 -44 + 8x + -4x + 3x = 0 Combine like terms: 8x + -4x = 4x -44 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x -44 + 7x = 0 Solving -44 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 7x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 7x = 0 + 44 7x = 0 + 44 Combine like terms: 0 + 44 = 44 7x = 44 Divide each side by '7'. x = 6.285714286 Simplifying x = 6.285714286
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