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Simplifying 7x + 3(x + -5) = 6(2x + 8) + 1 Reorder the terms: 7x + 3(-5 + x) = 6(2x + 8) + 1 7x + (-5 * 3 + x * 3) = 6(2x + 8) + 1 7x + (-15 + 3x) = 6(2x + 8) + 1 Reorder the terms: -15 + 7x + 3x = 6(2x + 8) + 1 Combine like terms: 7x + 3x = 10x -15 + 10x = 6(2x + 8) + 1 Reorder the terms: -15 + 10x = 6(8 + 2x) + 1 -15 + 10x = (8 * 6 + 2x * 6) + 1 -15 + 10x = (48 + 12x) + 1 Reorder the terms: -15 + 10x = 48 + 1 + 12x Combine like terms: 48 + 1 = 49 -15 + 10x = 49 + 12x Solving -15 + 10x = 49 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 10x + -12x = 49 + 12x + -12x Combine like terms: 10x + -12x = -2x -15 + -2x = 49 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -2x = 49 + 0 -15 + -2x = 49 Add '15' to each side of the equation. -15 + 15 + -2x = 49 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 49 + 15 -2x = 49 + 15 Combine like terms: 49 + 15 = 64 -2x = 64 Divide each side by '-2'. x = -32 Simplifying x = -32
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