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Simplifying 5x + -3(2x + 5) = 2x + 15 Reorder the terms: 5x + -3(5 + 2x) = 2x + 15 5x + (5 * -3 + 2x * -3) = 2x + 15 5x + (-15 + -6x) = 2x + 15 Reorder the terms: -15 + 5x + -6x = 2x + 15 Combine like terms: 5x + -6x = -1x -15 + -1x = 2x + 15 Reorder the terms: -15 + -1x = 15 + 2x Solving -15 + -1x = 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 + -1x + -2x = 15 + 2x + -2x Combine like terms: -1x + -2x = -3x -15 + -3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -3x = 15 + 0 -15 + -3x = 15 Add '15' to each side of the equation. -15 + 15 + -3x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 15 + 15 -3x = 15 + 15 Combine like terms: 15 + 15 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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