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Simplifying 3x + -5(x + 3) = 2x + 15 Reorder the terms: 3x + -5(3 + x) = 2x + 15 3x + (3 * -5 + x * -5) = 2x + 15 3x + (-15 + -5x) = 2x + 15 Reorder the terms: -15 + 3x + -5x = 2x + 15 Combine like terms: 3x + -5x = -2x -15 + -2x = 2x + 15 Reorder the terms: -15 + -2x = 15 + 2x Solving -15 + -2x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -2x + -2x = 15 + 2x + -2x Combine like terms: -2x + -2x = -4x -15 + -4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -4x = 15 + 0 -15 + -4x = 15 Add '15' to each side of the equation. -15 + 15 + -4x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 15 + 15 -4x = 15 + 15 Combine like terms: 15 + 15 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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