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Simplifying 1 + -2(2x + -3) = 3x + 21 Reorder the terms: 1 + -2(-3 + 2x) = 3x + 21 1 + (-3 * -2 + 2x * -2) = 3x + 21 1 + (6 + -4x) = 3x + 21 Combine like terms: 1 + 6 = 7 7 + -4x = 3x + 21 Reorder the terms: 7 + -4x = 21 + 3x Solving 7 + -4x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -4x + -3x = 21 + 3x + -3x Combine like terms: -4x + -3x = -7x 7 + -7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -7x = 21 + 0 7 + -7x = 21 Add '-7' to each side of the equation. 7 + -7 + -7x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 21 + -7 -7x = 21 + -7 Combine like terms: 21 + -7 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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