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Simplifying 7x + -3(x + 5) = 5x + -6 Reorder the terms: 7x + -3(5 + x) = 5x + -6 7x + (5 * -3 + x * -3) = 5x + -6 7x + (-15 + -3x) = 5x + -6 Reorder the terms: -15 + 7x + -3x = 5x + -6 Combine like terms: 7x + -3x = 4x -15 + 4x = 5x + -6 Reorder the terms: -15 + 4x = -6 + 5x Solving -15 + 4x = -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 + 4x + -5x = -6 + 5x + -5x Combine like terms: 4x + -5x = -1x -15 + -1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -1x = -6 + 0 -15 + -1x = -6 Add '15' to each side of the equation. -15 + 15 + -1x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -6 + 15 -1x = -6 + 15 Combine like terms: -6 + 15 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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