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Simplifying 8x + -2(3x + -5) = 4x + -6 Reorder the terms: 8x + -2(-5 + 3x) = 4x + -6 8x + (-5 * -2 + 3x * -2) = 4x + -6 8x + (10 + -6x) = 4x + -6 Reorder the terms: 10 + 8x + -6x = 4x + -6 Combine like terms: 8x + -6x = 2x 10 + 2x = 4x + -6 Reorder the terms: 10 + 2x = -6 + 4x Solving 10 + 2x = -6 + 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. 10 + 2x + -4x = -6 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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