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Simplifying (x + -8) + 4x = 6(x + -2) + -4 Reorder the terms: (-8 + x) + 4x = 6(x + -2) + -4 Remove parenthesis around (-8 + x) -8 + x + 4x = 6(x + -2) + -4 Combine like terms: x + 4x = 5x -8 + 5x = 6(x + -2) + -4 Reorder the terms: -8 + 5x = 6(-2 + x) + -4 -8 + 5x = (-2 * 6 + x * 6) + -4 -8 + 5x = (-12 + 6x) + -4 Reorder the terms: -8 + 5x = -12 + -4 + 6x Combine like terms: -12 + -4 = -16 -8 + 5x = -16 + 6x Solving -8 + 5x = -16 + 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 + 5x + -6x = -16 + 6x + -6x Combine like terms: 5x + -6x = -1x -8 + -1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1x = -16 + 0 -8 + -1x = -16 Add '8' to each side of the equation. -8 + 8 + -1x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -16 + 8 -1x = -16 + 8 Combine like terms: -16 + 8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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