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Simplifying 4(x + -4) + 3(x + 7) = -30 Reorder the terms: 4(-4 + x) + 3(x + 7) = -30 (-4 * 4 + x * 4) + 3(x + 7) = -30 (-16 + 4x) + 3(x + 7) = -30 Reorder the terms: -16 + 4x + 3(7 + x) = -30 -16 + 4x + (7 * 3 + x * 3) = -30 -16 + 4x + (21 + 3x) = -30 Reorder the terms: -16 + 21 + 4x + 3x = -30 Combine like terms: -16 + 21 = 5 5 + 4x + 3x = -30 Combine like terms: 4x + 3x = 7x 5 + 7x = -30 Solving 5 + 7x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = -30 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -30 + -5 7x = -30 + -5 Combine like terms: -30 + -5 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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