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Simplifying 2(6x + -4) + -5(4x + -6) = 22 + -3(3x + -2) Reorder the terms: 2(-4 + 6x) + -5(4x + -6) = 22 + -3(3x + -2) (-4 * 2 + 6x * 2) + -5(4x + -6) = 22 + -3(3x + -2) (-8 + 12x) + -5(4x + -6) = 22 + -3(3x + -2) Reorder the terms: -8 + 12x + -5(-6 + 4x) = 22 + -3(3x + -2) -8 + 12x + (-6 * -5 + 4x * -5) = 22 + -3(3x + -2) -8 + 12x + (30 + -20x) = 22 + -3(3x + -2) Reorder the terms: -8 + 30 + 12x + -20x = 22 + -3(3x + -2) Combine like terms: -8 + 30 = 22 22 + 12x + -20x = 22 + -3(3x + -2) Combine like terms: 12x + -20x = -8x 22 + -8x = 22 + -3(3x + -2) Reorder the terms: 22 + -8x = 22 + -3(-2 + 3x) 22 + -8x = 22 + (-2 * -3 + 3x * -3) 22 + -8x = 22 + (6 + -9x) Combine like terms: 22 + 6 = 28 22 + -8x = 28 + -9x Solving 22 + -8x = 28 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 22 + -8x + 9x = 28 + -9x + 9x Combine like terms: -8x + 9x = 1x 22 + 1x = 28 + -9x + 9x Combine like terms: -9x + 9x = 0 22 + 1x = 28 + 0 22 + 1x = 28 Add '-22' to each side of the equation. 22 + -22 + 1x = 28 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 28 + -22 1x = 28 + -22 Combine like terms: 28 + -22 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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