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Simplifying 18x + -1(5x + 12 + 7x) = 32(5x + -10) Reorder the terms: 18x + -1(12 + 5x + 7x) = 32(5x + -10) Combine like terms: 5x + 7x = 12x 18x + -1(12 + 12x) = 32(5x + -10) 18x + (12 * -1 + 12x * -1) = 32(5x + -10) 18x + (-12 + -12x) = 32(5x + -10) Reorder the terms: -12 + 18x + -12x = 32(5x + -10) Combine like terms: 18x + -12x = 6x -12 + 6x = 32(5x + -10) Reorder the terms: -12 + 6x = 32(-10 + 5x) -12 + 6x = (-10 * 32 + 5x * 32) -12 + 6x = (-320 + 160x) Solving -12 + 6x = -320 + 160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160x' to each side of the equation. -12 + 6x + -160x = -320 + 160x + -160x Combine like terms: 6x + -160x = -154x -12 + -154x = -320 + 160x + -160x Combine like terms: 160x + -160x = 0 -12 + -154x = -320 + 0 -12 + -154x = -320 Add '12' to each side of the equation. -12 + 12 + -154x = -320 + 12 Combine like terms: -12 + 12 = 0 0 + -154x = -320 + 12 -154x = -320 + 12 Combine like terms: -320 + 12 = -308 -154x = -308 Divide each side by '-154'. x = 2 Simplifying x = 2
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