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Simplifying 7x + -3(5 + 3x) = 6 + 5x 7x + (5 * -3 + 3x * -3) = 6 + 5x 7x + (-15 + -9x) = 6 + 5x Reorder the terms: -15 + 7x + -9x = 6 + 5x Combine like terms: 7x + -9x = -2x -15 + -2x = 6 + 5x Solving -15 + -2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -15 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -7x = 6 + 0 -15 + -7x = 6 Add '15' to each side of the equation. -15 + 15 + -7x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 6 + 15 -7x = 6 + 15 Combine like terms: 6 + 15 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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