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Simplifying 6 + -3(x + 2) = 4(x + -7) Reorder the terms: 6 + -3(2 + x) = 4(x + -7) 6 + (2 * -3 + x * -3) = 4(x + -7) 6 + (-6 + -3x) = 4(x + -7) Combine like terms: 6 + -6 = 0 0 + -3x = 4(x + -7) -3x = 4(x + -7) Reorder the terms: -3x = 4(-7 + x) -3x = (-7 * 4 + x * 4) -3x = (-28 + 4x) Solving -3x = -28 + 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. -3x + -4x = -28 + 4x + -4x Combine like terms: -3x + -4x = -7x -7x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -7x = -28 + 0 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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