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Simplifying 3(x + 14) + 4(x + 7) = -35 Reorder the terms: 3(14 + x) + 4(x + 7) = -35 (14 * 3 + x * 3) + 4(x + 7) = -35 (42 + 3x) + 4(x + 7) = -35 Reorder the terms: 42 + 3x + 4(7 + x) = -35 42 + 3x + (7 * 4 + x * 4) = -35 42 + 3x + (28 + 4x) = -35 Reorder the terms: 42 + 28 + 3x + 4x = -35 Combine like terms: 42 + 28 = 70 70 + 3x + 4x = -35 Combine like terms: 3x + 4x = 7x 70 + 7x = -35 Solving 70 + 7x = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 7x = -35 + -70 Combine like terms: 70 + -70 = 0 0 + 7x = -35 + -70 7x = -35 + -70 Combine like terms: -35 + -70 = -105 7x = -105 Divide each side by '7'. x = -15 Simplifying x = -15
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