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Simplifying 3(2x + 5) = -3x + -3(2 + 4x) Reorder the terms: 3(5 + 2x) = -3x + -3(2 + 4x) (5 * 3 + 2x * 3) = -3x + -3(2 + 4x) (15 + 6x) = -3x + -3(2 + 4x) 15 + 6x = -3x + (2 * -3 + 4x * -3) 15 + 6x = -3x + (-6 + -12x) Reorder the terms: 15 + 6x = -6 + -3x + -12x Combine like terms: -3x + -12x = -15x 15 + 6x = -6 + -15x Solving 15 + 6x = -6 + -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. 15 + 6x + 15x = -6 + -15x + 15x Combine like terms: 6x + 15x = 21x 15 + 21x = -6 + -15x + 15x Combine like terms: -15x + 15x = 0 15 + 21x = -6 + 0 15 + 21x = -6 Add '-15' to each side of the equation. 15 + -15 + 21x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = -6 + -15 21x = -6 + -15 Combine like terms: -6 + -15 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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