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Simplifying -3(-5x + 7) = -5(-2x + 6) + 234 Reorder the terms: -3(7 + -5x) = -5(-2x + 6) + 234 (7 * -3 + -5x * -3) = -5(-2x + 6) + 234 (-21 + 15x) = -5(-2x + 6) + 234 Reorder the terms: -21 + 15x = -5(6 + -2x) + 234 -21 + 15x = (6 * -5 + -2x * -5) + 234 -21 + 15x = (-30 + 10x) + 234 Reorder the terms: -21 + 15x = -30 + 234 + 10x Combine like terms: -30 + 234 = 204 -21 + 15x = 204 + 10x Solving -21 + 15x = 204 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 15x + -10x = 204 + 10x + -10x Combine like terms: 15x + -10x = 5x -21 + 5x = 204 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 5x = 204 + 0 -21 + 5x = 204 Add '21' to each side of the equation. -21 + 21 + 5x = 204 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 204 + 21 5x = 204 + 21 Combine like terms: 204 + 21 = 225 5x = 225 Divide each side by '5'. x = 45 Simplifying x = 45
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