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Simplifying 3(x + 21) = -4(x + -7) Reorder the terms: 3(21 + x) = -4(x + -7) (21 * 3 + x * 3) = -4(x + -7) (63 + 3x) = -4(x + -7) Reorder the terms: 63 + 3x = -4(-7 + x) 63 + 3x = (-7 * -4 + x * -4) 63 + 3x = (28 + -4x) Solving 63 + 3x = 28 + -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 = 28 + -4x + 4x Combine like terms: 3x + 4x = 7x 63 + 7x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 63 + 7x = 28 + 0 63 + 7x = 28 Add '-63' to each side of the equation. 63 + -63 + 7x = 28 + -63 Combine like terms: 63 + -63 = 0 0 + 7x = 28 + -63 7x = 28 + -63 Combine like terms: 28 + -63 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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