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Simplifying 4(4x + -3) = 2(9x + 5) + -8 Reorder the terms: 4(-3 + 4x) = 2(9x + 5) + -8 (-3 * 4 + 4x * 4) = 2(9x + 5) + -8 (-12 + 16x) = 2(9x + 5) + -8 Reorder the terms: -12 + 16x = 2(5 + 9x) + -8 -12 + 16x = (5 * 2 + 9x * 2) + -8 -12 + 16x = (10 + 18x) + -8 Reorder the terms: -12 + 16x = 10 + -8 + 18x Combine like terms: 10 + -8 = 2 -12 + 16x = 2 + 18x Solving -12 + 16x = 2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 16x + -18x = 2 + 18x + -18x Combine like terms: 16x + -18x = -2x -12 + -2x = 2 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -2x = 2 + 0 -12 + -2x = 2 Add '12' to each side of the equation. -12 + 12 + -2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 2 + 12 -2x = 2 + 12 Combine like terms: 2 + 12 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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