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Simplifying 4(4x + -3) + -6 = 9x + -12 Reorder the terms: 4(-3 + 4x) + -6 = 9x + -12 (-3 * 4 + 4x * 4) + -6 = 9x + -12 (-12 + 16x) + -6 = 9x + -12 Reorder the terms: -12 + -6 + 16x = 9x + -12 Combine like terms: -12 + -6 = -18 -18 + 16x = 9x + -12 Reorder the terms: -18 + 16x = -12 + 9x Solving -18 + 16x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 16x + -9x = -12 + 9x + -9x Combine like terms: 16x + -9x = 7x -18 + 7x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 7x = -12 + 0 -18 + 7x = -12 Add '18' to each side of the equation. -18 + 18 + 7x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -12 + 18 7x = -12 + 18 Combine like terms: -12 + 18 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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