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Simplifying 2x + 3(x + -5) = x + 7 Reorder the terms: 2x + 3(-5 + x) = x + 7 2x + (-5 * 3 + x * 3) = x + 7 2x + (-15 + 3x) = x + 7 Reorder the terms: -15 + 2x + 3x = x + 7 Combine like terms: 2x + 3x = 5x -15 + 5x = x + 7 Reorder the terms: -15 + 5x = 7 + x Solving -15 + 5x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x -15 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 -15 + 4x = 7 + 0 -15 + 4x = 7 Add '15' to each side of the equation. -15 + 15 + 4x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 7 + 15 4x = 7 + 15 Combine like terms: 7 + 15 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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