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Simplifying 8x + 2(5x + -6) = 5(4x + -9) + 13 Reorder the terms: 8x + 2(-6 + 5x) = 5(4x + -9) + 13 8x + (-6 * 2 + 5x * 2) = 5(4x + -9) + 13 8x + (-12 + 10x) = 5(4x + -9) + 13 Reorder the terms: -12 + 8x + 10x = 5(4x + -9) + 13 Combine like terms: 8x + 10x = 18x -12 + 18x = 5(4x + -9) + 13 Reorder the terms: -12 + 18x = 5(-9 + 4x) + 13 -12 + 18x = (-9 * 5 + 4x * 5) + 13 -12 + 18x = (-45 + 20x) + 13 Reorder the terms: -12 + 18x = -45 + 13 + 20x Combine like terms: -45 + 13 = -32 -12 + 18x = -32 + 20x Solving -12 + 18x = -32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -12 + 18x + -20x = -32 + 20x + -20x Combine like terms: 18x + -20x = -2x -12 + -2x = -32 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + -2x = -32 + 0 -12 + -2x = -32 Add '12' to each side of the equation. -12 + 12 + -2x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -32 + 12 -2x = -32 + 12 Combine like terms: -32 + 12 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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