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Simplifying 8x + 10 + -2x = 4(x + -5) Reorder the terms: 10 + 8x + -2x = 4(x + -5) Combine like terms: 8x + -2x = 6x 10 + 6x = 4(x + -5) Reorder the terms: 10 + 6x = 4(-5 + x) 10 + 6x = (-5 * 4 + x * 4) 10 + 6x = (-20 + 4x) Solving 10 + 6x = -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. 10 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = -20 + 0 10 + 2x = -20 Add '-10' to each side of the equation. 10 + -10 + 2x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -20 + -10 2x = -20 + -10 Combine like terms: -20 + -10 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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