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Simplifying 5x + -6 = 3(x + -4) Reorder the terms: -6 + 5x = 3(x + -4) Reorder the terms: -6 + 5x = 3(-4 + x) -6 + 5x = (-4 * 3 + x * 3) -6 + 5x = (-12 + 3x) Solving -6 + 5x = -12 + 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. -6 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = -12 + 0 -6 + 2x = -12 Add '6' to each side of the equation. -6 + 6 + 2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -12 + 6 2x = -12 + 6 Combine like terms: -12 + 6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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