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Simplifying 6(4x + -2) + 5(4x + -2) = 18 + 2(4x + -2) Reorder the terms: 6(-2 + 4x) + 5(4x + -2) = 18 + 2(4x + -2) (-2 * 6 + 4x * 6) + 5(4x + -2) = 18 + 2(4x + -2) (-12 + 24x) + 5(4x + -2) = 18 + 2(4x + -2) Reorder the terms: -12 + 24x + 5(-2 + 4x) = 18 + 2(4x + -2) -12 + 24x + (-2 * 5 + 4x * 5) = 18 + 2(4x + -2) -12 + 24x + (-10 + 20x) = 18 + 2(4x + -2) Reorder the terms: -12 + -10 + 24x + 20x = 18 + 2(4x + -2) Combine like terms: -12 + -10 = -22 -22 + 24x + 20x = 18 + 2(4x + -2) Combine like terms: 24x + 20x = 44x -22 + 44x = 18 + 2(4x + -2) Reorder the terms: -22 + 44x = 18 + 2(-2 + 4x) -22 + 44x = 18 + (-2 * 2 + 4x * 2) -22 + 44x = 18 + (-4 + 8x) Combine like terms: 18 + -4 = 14 -22 + 44x = 14 + 8x Solving -22 + 44x = 14 + 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. -22 + 44x + -8x = 14 + 8x + -8x Combine like terms: 44x + -8x = 36x -22 + 36x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + 36x = 14 + 0 -22 + 36x = 14 Add '22' to each side of the equation. -22 + 22 + 36x = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 36x = 14 + 22 36x = 14 + 22 Combine like terms: 14 + 22 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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