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Simplifying 2(4x + -10) = 23 + -4(x + 3) Reorder the terms: 2(-10 + 4x) = 23 + -4(x + 3) (-10 * 2 + 4x * 2) = 23 + -4(x + 3) (-20 + 8x) = 23 + -4(x + 3) Reorder the terms: -20 + 8x = 23 + -4(3 + x) -20 + 8x = 23 + (3 * -4 + x * -4) -20 + 8x = 23 + (-12 + -4x) Combine like terms: 23 + -12 = 11 -20 + 8x = 11 + -4x Solving -20 + 8x = 11 + -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. -20 + 8x + 4x = 11 + -4x + 4x Combine like terms: 8x + 4x = 12x -20 + 12x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 12x = 11 + 0 -20 + 12x = 11 Add '20' to each side of the equation. -20 + 20 + 12x = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 11 + 20 12x = 11 + 20 Combine like terms: 11 + 20 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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