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Simplifying 4(10x + -10) + 2 = 5x + -6 Reorder the terms: 4(-10 + 10x) + 2 = 5x + -6 (-10 * 4 + 10x * 4) + 2 = 5x + -6 (-40 + 40x) + 2 = 5x + -6 Reorder the terms: -40 + 2 + 40x = 5x + -6 Combine like terms: -40 + 2 = -38 -38 + 40x = 5x + -6 Reorder the terms: -38 + 40x = -6 + 5x Solving -38 + 40x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -38 + 40x + -5x = -6 + 5x + -5x Combine like terms: 40x + -5x = 35x -38 + 35x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 35x = -6 + 0 -38 + 35x = -6 Add '38' to each side of the equation. -38 + 38 + 35x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 35x = -6 + 38 35x = -6 + 38 Combine like terms: -6 + 38 = 32 35x = 32 Divide each side by '35'. x = 0.9142857143 Simplifying x = 0.9142857143
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