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Simplifying 5(-2 + 3x) + -7(x + 2) = 3x + 3x (-2 * 5 + 3x * 5) + -7(x + 2) = 3x + 3x (-10 + 15x) + -7(x + 2) = 3x + 3x Reorder the terms: -10 + 15x + -7(2 + x) = 3x + 3x -10 + 15x + (2 * -7 + x * -7) = 3x + 3x -10 + 15x + (-14 + -7x) = 3x + 3x Reorder the terms: -10 + -14 + 15x + -7x = 3x + 3x Combine like terms: -10 + -14 = -24 -24 + 15x + -7x = 3x + 3x Combine like terms: 15x + -7x = 8x -24 + 8x = 3x + 3x Combine like terms: 3x + 3x = 6x -24 + 8x = 6x Solving -24 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = 0 Add '24' to each side of the equation. -24 + 24 + 2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 0 + 24 2x = 0 + 24 Combine like terms: 0 + 24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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