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Simplifying 3(x + 21) = -4(x + -21) Reorder the terms: 3(21 + x) = -4(x + -21) (21 * 3 + x * 3) = -4(x + -21) (63 + 3x) = -4(x + -21) Reorder the terms: 63 + 3x = -4(-21 + x) 63 + 3x = (-21 * -4 + x * -4) 63 + 3x = (84 + -4x) Solving 63 + 3x = 84 + -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. 63 + 3x + 4x = 84 + -4x + 4x Combine like terms: 3x + 4x = 7x 63 + 7x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 63 + 7x = 84 + 0 63 + 7x = 84 Add '-63' to each side of the equation. 63 + -63 + 7x = 84 + -63 Combine like terms: 63 + -63 = 0 0 + 7x = 84 + -63 7x = 84 + -63 Combine like terms: 84 + -63 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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