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Simplifying 5(x + -6) + 2x = 4x + -5 + -7 Reorder the terms: 5(-6 + x) + 2x = 4x + -5 + -7 (-6 * 5 + x * 5) + 2x = 4x + -5 + -7 (-30 + 5x) + 2x = 4x + -5 + -7 Combine like terms: 5x + 2x = 7x -30 + 7x = 4x + -5 + -7 Reorder the terms: -30 + 7x = -5 + -7 + 4x Combine like terms: -5 + -7 = -12 -30 + 7x = -12 + 4x Solving -30 + 7x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + 7x + -4x = -12 + 4x + -4x Combine like terms: 7x + -4x = 3x -30 + 3x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 3x = -12 + 0 -30 + 3x = -12 Add '30' to each side of the equation. -30 + 30 + 3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -12 + 30 3x = -12 + 30 Combine like terms: -12 + 30 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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