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Simplifying 9(x + -2) + 6x = 5(2x + -8) + 2 Reorder the terms: 9(-2 + x) + 6x = 5(2x + -8) + 2 (-2 * 9 + x * 9) + 6x = 5(2x + -8) + 2 (-18 + 9x) + 6x = 5(2x + -8) + 2 Combine like terms: 9x + 6x = 15x -18 + 15x = 5(2x + -8) + 2 Reorder the terms: -18 + 15x = 5(-8 + 2x) + 2 -18 + 15x = (-8 * 5 + 2x * 5) + 2 -18 + 15x = (-40 + 10x) + 2 Reorder the terms: -18 + 15x = -40 + 2 + 10x Combine like terms: -40 + 2 = -38 -18 + 15x = -38 + 10x Solving -18 + 15x = -38 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 15x + -10x = -38 + 10x + -10x Combine like terms: 15x + -10x = 5x -18 + 5x = -38 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 5x = -38 + 0 -18 + 5x = -38 Add '18' to each side of the equation. -18 + 18 + 5x = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -38 + 18 5x = -38 + 18 Combine like terms: -38 + 18 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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