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Simplifying 5(3x + 7) = 14 + -3(x + -7) Reorder the terms: 5(7 + 3x) = 14 + -3(x + -7) (7 * 5 + 3x * 5) = 14 + -3(x + -7) (35 + 15x) = 14 + -3(x + -7) Reorder the terms: 35 + 15x = 14 + -3(-7 + x) 35 + 15x = 14 + (-7 * -3 + x * -3) 35 + 15x = 14 + (21 + -3x) Combine like terms: 14 + 21 = 35 35 + 15x = 35 + -3x Add '-35' to each side of the equation. 35 + -35 + 15x = 35 + -35 + -3x Combine like terms: 35 + -35 = 0 0 + 15x = 35 + -35 + -3x 15x = 35 + -35 + -3x Combine like terms: 35 + -35 = 0 15x = 0 + -3x 15x = -3x Solving 15x = -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. 15x + 3x = -3x + 3x Combine like terms: 15x + 3x = 18x 18x = -3x + 3x Combine like terms: -3x + 3x = 0 18x = 0 Divide each side by '18'. x = 0 Simplifying x = 0
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