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Simplifying 2x(5x + -1) + 7(x + -3) = 10x2 + 4(x + -8) Reorder the terms: 2x(-1 + 5x) + 7(x + -3) = 10x2 + 4(x + -8) (-1 * 2x + 5x * 2x) + 7(x + -3) = 10x2 + 4(x + -8) (-2x + 10x2) + 7(x + -3) = 10x2 + 4(x + -8) Reorder the terms: -2x + 10x2 + 7(-3 + x) = 10x2 + 4(x + -8) -2x + 10x2 + (-3 * 7 + x * 7) = 10x2 + 4(x + -8) -2x + 10x2 + (-21 + 7x) = 10x2 + 4(x + -8) Reorder the terms: -21 + -2x + 7x + 10x2 = 10x2 + 4(x + -8) Combine like terms: -2x + 7x = 5x -21 + 5x + 10x2 = 10x2 + 4(x + -8) Reorder the terms: -21 + 5x + 10x2 = 10x2 + 4(-8 + x) -21 + 5x + 10x2 = 10x2 + (-8 * 4 + x * 4) -21 + 5x + 10x2 = 10x2 + (-32 + 4x) Reorder the terms: -21 + 5x + 10x2 = -32 + 4x + 10x2 Add '-10x2' to each side of the equation. -21 + 5x + 10x2 + -10x2 = -32 + 4x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -21 + 5x + 0 = -32 + 4x + 10x2 + -10x2 -21 + 5x = -32 + 4x + 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -21 + 5x = -32 + 4x + 0 -21 + 5x = -32 + 4x Solving -21 + 5x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 5x + -4x = -32 + 4x + -4x Combine like terms: 5x + -4x = 1x -21 + 1x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 1x = -32 + 0 -21 + 1x = -32 Add '21' to each side of the equation. -21 + 21 + 1x = -32 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -32 + 21 1x = -32 + 21 Combine like terms: -32 + 21 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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