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Simplifying 2(x + -21) = 56 + -4(x + -4) Reorder the terms: 2(-21 + x) = 56 + -4(x + -4) (-21 * 2 + x * 2) = 56 + -4(x + -4) (-42 + 2x) = 56 + -4(x + -4) Reorder the terms: -42 + 2x = 56 + -4(-4 + x) -42 + 2x = 56 + (-4 * -4 + x * -4) -42 + 2x = 56 + (16 + -4x) Combine like terms: 56 + 16 = 72 -42 + 2x = 72 + -4x Solving -42 + 2x = 72 + -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 = 72 + -4x + 4x Combine like terms: 2x + 4x = 6x -42 + 6x = 72 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 6x = 72 + 0 -42 + 6x = 72 Add '42' to each side of the equation. -42 + 42 + 6x = 72 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 72 + 42 6x = 72 + 42 Combine like terms: 72 + 42 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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