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Simplifying 3(x + -2) + 5(x + -3) = 15x Reorder the terms: 3(-2 + x) + 5(x + -3) = 15x (-2 * 3 + x * 3) + 5(x + -3) = 15x (-6 + 3x) + 5(x + -3) = 15x Reorder the terms: -6 + 3x + 5(-3 + x) = 15x -6 + 3x + (-3 * 5 + x * 5) = 15x -6 + 3x + (-15 + 5x) = 15x Reorder the terms: -6 + -15 + 3x + 5x = 15x Combine like terms: -6 + -15 = -21 -21 + 3x + 5x = 15x Combine like terms: 3x + 5x = 8x -21 + 8x = 15x Solving -21 + 8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 8x + -15x = 15x + -15x Combine like terms: 8x + -15x = -7x -21 + -7x = 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -7x = 0 Add '21' to each side of the equation. -21 + 21 + -7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = 0 + 21 -7x = 0 + 21 Combine like terms: 0 + 21 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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