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Simplifying 6(x + -8) + -2(x + -5) + 7x = 0 Reorder the terms: 6(-8 + x) + -2(x + -5) + 7x = 0 (-8 * 6 + x * 6) + -2(x + -5) + 7x = 0 (-48 + 6x) + -2(x + -5) + 7x = 0 Reorder the terms: -48 + 6x + -2(-5 + x) + 7x = 0 -48 + 6x + (-5 * -2 + x * -2) + 7x = 0 -48 + 6x + (10 + -2x) + 7x = 0 Reorder the terms: -48 + 10 + 6x + -2x + 7x = 0 Combine like terms: -48 + 10 = -38 -38 + 6x + -2x + 7x = 0 Combine like terms: 6x + -2x = 4x -38 + 4x + 7x = 0 Combine like terms: 4x + 7x = 11x -38 + 11x = 0 Solving -38 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 11x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 11x = 0 + 38 11x = 0 + 38 Combine like terms: 0 + 38 = 38 11x = 38 Divide each side by '11'. x = 3.454545455 Simplifying x = 3.454545455
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