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Simplifying 3(5 + -7) = 15x + -21 Combine like terms: 5 + -7 = -2 3(-2) = 15x + -21 Multiply 3 * -2 -6 = 15x + -21 Reorder the terms: -6 = -21 + 15x Solving -6 = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + -15x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -15x = -21 + 0 -6 + -15x = -21 Add '6' to each side of the equation. -6 + 6 + -15x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = -21 + 6 -15x = -21 + 6 Combine like terms: -21 + 6 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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