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Simplifying 8(2x + -3) + 2(x + -4) = 4 Reorder the terms: 8(-3 + 2x) + 2(x + -4) = 4 (-3 * 8 + 2x * 8) + 2(x + -4) = 4 (-24 + 16x) + 2(x + -4) = 4 Reorder the terms: -24 + 16x + 2(-4 + x) = 4 -24 + 16x + (-4 * 2 + x * 2) = 4 -24 + 16x + (-8 + 2x) = 4 Reorder the terms: -24 + -8 + 16x + 2x = 4 Combine like terms: -24 + -8 = -32 -32 + 16x + 2x = 4 Combine like terms: 16x + 2x = 18x -32 + 18x = 4 Solving -32 + 18x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 18x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = 4 + 32 18x = 4 + 32 Combine like terms: 4 + 32 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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