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Simplifying (X + -21) + -2(x + 4) = 3(2x + -3) Reorder the terms: (-21 + X) + -2(x + 4) = 3(2x + -3) Remove parenthesis around (-21 + X) -21 + X + -2(x + 4) = 3(2x + -3) Reorder the terms: -21 + X + -2(4 + x) = 3(2x + -3) -21 + X + (4 * -2 + x * -2) = 3(2x + -3) -21 + X + (-8 + -2x) = 3(2x + -3) Reorder the terms: -21 + -8 + X + -2x = 3(2x + -3) Combine like terms: -21 + -8 = -29 -29 + X + -2x = 3(2x + -3) Reorder the terms: -29 + X + -2x = 3(-3 + 2x) -29 + X + -2x = (-3 * 3 + 2x * 3) -29 + X + -2x = (-9 + 6x) Solving -29 + X + -2x = -9 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '29' to each side of the equation. -29 + X + 29 + -2x = -9 + 29 + 6x Reorder the terms: -29 + 29 + X + -2x = -9 + 29 + 6x Combine like terms: -29 + 29 = 0 0 + X + -2x = -9 + 29 + 6x X + -2x = -9 + 29 + 6x Combine like terms: -9 + 29 = 20 X + -2x = 20 + 6x Add '2x' to each side of the equation. X + -2x + 2x = 20 + 6x + 2x Combine like terms: -2x + 2x = 0 X + 0 = 20 + 6x + 2x X = 20 + 6x + 2x Combine like terms: 6x + 2x = 8x X = 20 + 8x Simplifying X = 20 + 8x
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