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Simplifying 4(x + 21) = -3(x + -7) Reorder the terms: 4(21 + x) = -3(x + -7) (21 * 4 + x * 4) = -3(x + -7) (84 + 4x) = -3(x + -7) Reorder the terms: 84 + 4x = -3(-7 + x) 84 + 4x = (-7 * -3 + x * -3) 84 + 4x = (21 + -3x) Solving 84 + 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. 84 + 4x + 3x = 21 + -3x + 3x Combine like terms: 4x + 3x = 7x 84 + 7x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 84 + 7x = 21 + 0 84 + 7x = 21 Add '-84' to each side of the equation. 84 + -84 + 7x = 21 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = 21 + -84 7x = 21 + -84 Combine like terms: 21 + -84 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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