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Simplifying 2(x + -21) = 38 + -4(x + -4) Reorder the terms: 2(-21 + x) = 38 + -4(x + -4) (-21 * 2 + x * 2) = 38 + -4(x + -4) (-42 + 2x) = 38 + -4(x + -4) Reorder the terms: -42 + 2x = 38 + -4(-4 + x) -42 + 2x = 38 + (-4 * -4 + x * -4) -42 + 2x = 38 + (16 + -4x) Combine like terms: 38 + 16 = 54 -42 + 2x = 54 + -4x Solving -42 + 2x = 54 + -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. -42 + 2x + 4x = 54 + -4x + 4x Combine like terms: 2x + 4x = 6x -42 + 6x = 54 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 6x = 54 + 0 -42 + 6x = 54 Add '42' to each side of the equation. -42 + 42 + 6x = 54 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 54 + 42 6x = 54 + 42 Combine like terms: 54 + 42 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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