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Simplifying 6 + 3x = -8(8 + -4x) + 6x 6 + 3x = (8 * -8 + -4x * -8) + 6x 6 + 3x = (-64 + 32x) + 6x Combine like terms: 32x + 6x = 38x 6 + 3x = -64 + 38x Solving 6 + 3x = -64 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 6 + 3x + -38x = -64 + 38x + -38x Combine like terms: 3x + -38x = -35x 6 + -35x = -64 + 38x + -38x Combine like terms: 38x + -38x = 0 6 + -35x = -64 + 0 6 + -35x = -64 Add '-6' to each side of the equation. 6 + -6 + -35x = -64 + -6 Combine like terms: 6 + -6 = 0 0 + -35x = -64 + -6 -35x = -64 + -6 Combine like terms: -64 + -6 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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