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Simplifying 8(2x + -4) = 6x + 2(x + -3) Reorder the terms: 8(-4 + 2x) = 6x + 2(x + -3) (-4 * 8 + 2x * 8) = 6x + 2(x + -3) (-32 + 16x) = 6x + 2(x + -3) Reorder the terms: -32 + 16x = 6x + 2(-3 + x) -32 + 16x = 6x + (-3 * 2 + x * 2) -32 + 16x = 6x + (-6 + 2x) Reorder the terms: -32 + 16x = -6 + 6x + 2x Combine like terms: 6x + 2x = 8x -32 + 16x = -6 + 8x Solving -32 + 16x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + 16x + -8x = -6 + 8x + -8x Combine like terms: 16x + -8x = 8x -32 + 8x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 8x = -6 + 0 -32 + 8x = -6 Add '32' to each side of the equation. -32 + 32 + 8x = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -6 + 32 8x = -6 + 32 Combine like terms: -6 + 32 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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