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Simplifying 8x + -4(x + -3) = 2(x + 10) Reorder the terms: 8x + -4(-3 + x) = 2(x + 10) 8x + (-3 * -4 + x * -4) = 2(x + 10) 8x + (12 + -4x) = 2(x + 10) Reorder the terms: 12 + 8x + -4x = 2(x + 10) Combine like terms: 8x + -4x = 4x 12 + 4x = 2(x + 10) Reorder the terms: 12 + 4x = 2(10 + x) 12 + 4x = (10 * 2 + x * 2) 12 + 4x = (20 + 2x) Solving 12 + 4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 20 + 0 12 + 2x = 20 Add '-12' to each side of the equation. 12 + -12 + 2x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 20 + -12 2x = 20 + -12 Combine like terms: 20 + -12 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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