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Simplifying 2(2x + -3) + -4 = 2(x + -5) + 18 Reorder the terms: 2(-3 + 2x) + -4 = 2(x + -5) + 18 (-3 * 2 + 2x * 2) + -4 = 2(x + -5) + 18 (-6 + 4x) + -4 = 2(x + -5) + 18 Reorder the terms: -6 + -4 + 4x = 2(x + -5) + 18 Combine like terms: -6 + -4 = -10 -10 + 4x = 2(x + -5) + 18 Reorder the terms: -10 + 4x = 2(-5 + x) + 18 -10 + 4x = (-5 * 2 + x * 2) + 18 -10 + 4x = (-10 + 2x) + 18 Reorder the terms: -10 + 4x = -10 + 18 + 2x Combine like terms: -10 + 18 = 8 -10 + 4x = 8 + 2x Solving -10 + 4x = 8 + 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. -10 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 8 + 0 -10 + 2x = 8 Add '10' to each side of the equation. -10 + 10 + 2x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 8 + 10 2x = 8 + 10 Combine like terms: 8 + 10 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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