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Simplifying 4(x + 21) = -3(x + -14) Reorder the terms: 4(21 + x) = -3(x + -14) (21 * 4 + x * 4) = -3(x + -14) (84 + 4x) = -3(x + -14) Reorder the terms: 84 + 4x = -3(-14 + x) 84 + 4x = (-14 * -3 + x * -3) 84 + 4x = (42 + -3x) Solving 84 + 4x = 42 + -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 = 42 + -3x + 3x Combine like terms: 4x + 3x = 7x 84 + 7x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 84 + 7x = 42 + 0 84 + 7x = 42 Add '-84' to each side of the equation. 84 + -84 + 7x = 42 + -84 Combine like terms: 84 + -84 = 0 0 + 7x = 42 + -84 7x = 42 + -84 Combine like terms: 42 + -84 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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