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Simplifying 3x + -4(2x + 1) = 7(x + -2) + x + 10 Reorder the terms: 3x + -4(1 + 2x) = 7(x + -2) + x + 10 3x + (1 * -4 + 2x * -4) = 7(x + -2) + x + 10 3x + (-4 + -8x) = 7(x + -2) + x + 10 Reorder the terms: -4 + 3x + -8x = 7(x + -2) + x + 10 Combine like terms: 3x + -8x = -5x -4 + -5x = 7(x + -2) + x + 10 Reorder the terms: -4 + -5x = 7(-2 + x) + x + 10 -4 + -5x = (-2 * 7 + x * 7) + x + 10 -4 + -5x = (-14 + 7x) + x + 10 Reorder the terms: -4 + -5x = -14 + 10 + 7x + x Combine like terms: -14 + 10 = -4 -4 + -5x = -4 + 7x + x Combine like terms: 7x + x = 8x -4 + -5x = -4 + 8x Add '4' to each side of the equation. -4 + 4 + -5x = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 0 + -5x = -4 + 4 + 8x -5x = -4 + 4 + 8x Combine like terms: -4 + 4 = 0 -5x = 0 + 8x -5x = 8x Solving -5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5x + -8x = 8x + -8x Combine like terms: -5x + -8x = -13x -13x = 8x + -8x Combine like terms: 8x + -8x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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