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Simplifying 4(3x + -8) = 10x + -1(2x + 3) + -1 Reorder the terms: 4(-8 + 3x) = 10x + -1(2x + 3) + -1 (-8 * 4 + 3x * 4) = 10x + -1(2x + 3) + -1 (-32 + 12x) = 10x + -1(2x + 3) + -1 Reorder the terms: -32 + 12x = 10x + -1(3 + 2x) + -1 -32 + 12x = 10x + (3 * -1 + 2x * -1) + -1 -32 + 12x = 10x + (-3 + -2x) + -1 Reorder the terms: -32 + 12x = -3 + -1 + 10x + -2x Combine like terms: -3 + -1 = -4 -32 + 12x = -4 + 10x + -2x Combine like terms: 10x + -2x = 8x -32 + 12x = -4 + 8x Solving -32 + 12x = -4 + 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. -32 + 12x + -8x = -4 + 8x + -8x Combine like terms: 12x + -8x = 4x -32 + 4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 4x = -4 + 0 -32 + 4x = -4 Add '32' to each side of the equation. -32 + 32 + 4x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -4 + 32 4x = -4 + 32 Combine like terms: -4 + 32 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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