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Simplifying 8x + 10 + -2 = 4(x + -5) Reorder the terms: 10 + -2 + 8x = 4(x + -5) Combine like terms: 10 + -2 = 8 8 + 8x = 4(x + -5) Reorder the terms: 8 + 8x = 4(-5 + x) 8 + 8x = (-5 * 4 + x * 4) 8 + 8x = (-20 + 4x) Solving 8 + 8x = -20 + 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. 8 + 8x + -4x = -20 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = -20 + 0 8 + 4x = -20 Add '-8' to each side of the equation. 8 + -8 + 4x = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -20 + -8 4x = -20 + -8 Combine like terms: -20 + -8 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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