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Simplifying 5(x + -7) = 3(x + -4) + 6 Reorder the terms: 5(-7 + x) = 3(x + -4) + 6 (-7 * 5 + x * 5) = 3(x + -4) + 6 (-35 + 5x) = 3(x + -4) + 6 Reorder the terms: -35 + 5x = 3(-4 + x) + 6 -35 + 5x = (-4 * 3 + x * 3) + 6 -35 + 5x = (-12 + 3x) + 6 Reorder the terms: -35 + 5x = -12 + 6 + 3x Combine like terms: -12 + 6 = -6 -35 + 5x = -6 + 3x Solving -35 + 5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = -6 + 0 -35 + 2x = -6 Add '35' to each side of the equation. -35 + 35 + 2x = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -6 + 35 2x = -6 + 35 Combine like terms: -6 + 35 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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