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Simplifying 4(x + -3) = 6 + -7x Reorder the terms: 4(-3 + x) = 6 + -7x (-3 * 4 + x * 4) = 6 + -7x (-12 + 4x) = 6 + -7x Solving -12 + 4x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 4x + 7x = 6 + -7x + 7x Combine like terms: 4x + 7x = 11x -12 + 11x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 11x = 6 + 0 -12 + 11x = 6 Add '12' to each side of the equation. -12 + 12 + 11x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 6 + 12 11x = 6 + 12 Combine like terms: 6 + 12 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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