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Simplifying 4(x + 14) = -3(x + -7) Reorder the terms: 4(14 + x) = -3(x + -7) (14 * 4 + x * 4) = -3(x + -7) (56 + 4x) = -3(x + -7) Reorder the terms: 56 + 4x = -3(-7 + x) 56 + 4x = (-7 * -3 + x * -3) 56 + 4x = (21 + -3x) Solving 56 + 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. 56 + 4x + 3x = 21 + -3x + 3x Combine like terms: 4x + 3x = 7x 56 + 7x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 56 + 7x = 21 + 0 56 + 7x = 21 Add '-56' to each side of the equation. 56 + -56 + 7x = 21 + -56 Combine like terms: 56 + -56 = 0 0 + 7x = 21 + -56 7x = 21 + -56 Combine like terms: 21 + -56 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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