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Simplifying x + -4(x + -2) = 6(x + 8) Reorder the terms: x + -4(-2 + x) = 6(x + 8) x + (-2 * -4 + x * -4) = 6(x + 8) x + (8 + -4x) = 6(x + 8) Reorder the terms: 8 + x + -4x = 6(x + 8) Combine like terms: x + -4x = -3x 8 + -3x = 6(x + 8) Reorder the terms: 8 + -3x = 6(8 + x) 8 + -3x = (8 * 6 + x * 6) 8 + -3x = (48 + 6x) Solving 8 + -3x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -3x + -6x = 48 + 6x + -6x Combine like terms: -3x + -6x = -9x 8 + -9x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -9x = 48 + 0 8 + -9x = 48 Add '-8' to each side of the equation. 8 + -8 + -9x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 48 + -8 -9x = 48 + -8 Combine like terms: 48 + -8 = 40 -9x = 40 Divide each side by '-9'. x = -4.444444444 Simplifying x = -4.444444444
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