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Simplifying 5(2x + -5) + -1(4x + -7) = -10 Reorder the terms: 5(-5 + 2x) + -1(4x + -7) = -10 (-5 * 5 + 2x * 5) + -1(4x + -7) = -10 (-25 + 10x) + -1(4x + -7) = -10 Reorder the terms: -25 + 10x + -1(-7 + 4x) = -10 -25 + 10x + (-7 * -1 + 4x * -1) = -10 -25 + 10x + (7 + -4x) = -10 Reorder the terms: -25 + 7 + 10x + -4x = -10 Combine like terms: -25 + 7 = -18 -18 + 10x + -4x = -10 Combine like terms: 10x + -4x = 6x -18 + 6x = -10 Solving -18 + 6x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = -10 + 18 6x = -10 + 18 Combine like terms: -10 + 18 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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