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Simplifying 8(x + -4) + 3x = 7x + x + 10 Reorder the terms: 8(-4 + x) + 3x = 7x + x + 10 (-4 * 8 + x * 8) + 3x = 7x + x + 10 (-32 + 8x) + 3x = 7x + x + 10 Combine like terms: 8x + 3x = 11x -32 + 11x = 7x + x + 10 Reorder the terms: -32 + 11x = 10 + 7x + x Combine like terms: 7x + x = 8x -32 + 11x = 10 + 8x Solving -32 + 11x = 10 + 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 + 11x + -8x = 10 + 8x + -8x Combine like terms: 11x + -8x = 3x -32 + 3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 3x = 10 + 0 -32 + 3x = 10 Add '32' to each side of the equation. -32 + 32 + 3x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 10 + 32 3x = 10 + 32 Combine like terms: 10 + 32 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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