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Simplifying 2(x + -23) = 52 + -4(x + -4) Reorder the terms: 2(-23 + x) = 52 + -4(x + -4) (-23 * 2 + x * 2) = 52 + -4(x + -4) (-46 + 2x) = 52 + -4(x + -4) Reorder the terms: -46 + 2x = 52 + -4(-4 + x) -46 + 2x = 52 + (-4 * -4 + x * -4) -46 + 2x = 52 + (16 + -4x) Combine like terms: 52 + 16 = 68 -46 + 2x = 68 + -4x Solving -46 + 2x = 68 + -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. -46 + 2x + 4x = 68 + -4x + 4x Combine like terms: 2x + 4x = 6x -46 + 6x = 68 + -4x + 4x Combine like terms: -4x + 4x = 0 -46 + 6x = 68 + 0 -46 + 6x = 68 Add '46' to each side of the equation. -46 + 46 + 6x = 68 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = 68 + 46 6x = 68 + 46 Combine like terms: 68 + 46 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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