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Simplifying 4(4x + -3) + -6 = 12z + -12 + -2x Reorder the terms: 4(-3 + 4x) + -6 = 12z + -12 + -2x (-3 * 4 + 4x * 4) + -6 = 12z + -12 + -2x (-12 + 16x) + -6 = 12z + -12 + -2x Reorder the terms: -12 + -6 + 16x = 12z + -12 + -2x Combine like terms: -12 + -6 = -18 -18 + 16x = 12z + -12 + -2x Reorder the terms: -18 + 16x = -12 + -2x + 12z Solving -18 + 16x = -12 + -2x + 12z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 16x + 2x = -12 + -2x + 2x + 12z Combine like terms: 16x + 2x = 18x -18 + 18x = -12 + -2x + 2x + 12z Combine like terms: -2x + 2x = 0 -18 + 18x = -12 + 0 + 12z -18 + 18x = -12 + 12z Add '18' to each side of the equation. -18 + 18 + 18x = -12 + 18 + 12z Combine like terms: -18 + 18 = 0 0 + 18x = -12 + 18 + 12z 18x = -12 + 18 + 12z Combine like terms: -12 + 18 = 6 18x = 6 + 12z Divide each side by '18'. x = 0.3333333333 + 0.6666666667z Simplifying x = 0.3333333333 + 0.6666666667z
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