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Simplifying 2x + -4 = 5(8x + -9) + 35 Reorder the terms: -4 + 2x = 5(8x + -9) + 35 Reorder the terms: -4 + 2x = 5(-9 + 8x) + 35 -4 + 2x = (-9 * 5 + 8x * 5) + 35 -4 + 2x = (-45 + 40x) + 35 Reorder the terms: -4 + 2x = -45 + 35 + 40x Combine like terms: -45 + 35 = -10 -4 + 2x = -10 + 40x Solving -4 + 2x = -10 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -4 + 2x + -40x = -10 + 40x + -40x Combine like terms: 2x + -40x = -38x -4 + -38x = -10 + 40x + -40x Combine like terms: 40x + -40x = 0 -4 + -38x = -10 + 0 -4 + -38x = -10 Add '4' to each side of the equation. -4 + 4 + -38x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -38x = -10 + 4 -38x = -10 + 4 Combine like terms: -10 + 4 = -6 -38x = -6 Divide each side by '-38'. x = 0.1578947368 Simplifying x = 0.1578947368
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