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Simplifying 2(5x + -6) = 4(2x + 13) Reorder the terms: 2(-6 + 5x) = 4(2x + 13) (-6 * 2 + 5x * 2) = 4(2x + 13) (-12 + 10x) = 4(2x + 13) Reorder the terms: -12 + 10x = 4(13 + 2x) -12 + 10x = (13 * 4 + 2x * 4) -12 + 10x = (52 + 8x) Solving -12 + 10x = 52 + 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. -12 + 10x + -8x = 52 + 8x + -8x Combine like terms: 10x + -8x = 2x -12 + 2x = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 2x = 52 + 0 -12 + 2x = 52 Add '12' to each side of the equation. -12 + 12 + 2x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 52 + 12 2x = 52 + 12 Combine like terms: 52 + 12 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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