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Simplifying 5(3x + -5) + -2(x + -7) = 11 Reorder the terms: 5(-5 + 3x) + -2(x + -7) = 11 (-5 * 5 + 3x * 5) + -2(x + -7) = 11 (-25 + 15x) + -2(x + -7) = 11 Reorder the terms: -25 + 15x + -2(-7 + x) = 11 -25 + 15x + (-7 * -2 + x * -2) = 11 -25 + 15x + (14 + -2x) = 11 Reorder the terms: -25 + 14 + 15x + -2x = 11 Combine like terms: -25 + 14 = -11 -11 + 15x + -2x = 11 Combine like terms: 15x + -2x = 13x -11 + 13x = 11 Solving -11 + 13x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 11 + 11 13x = 11 + 11 Combine like terms: 11 + 11 = 22 13x = 22 Divide each side by '13'. x = 1.692307692 Simplifying x = 1.692307692
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