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Simplifying 6 + -5(x + -2) = 7x + -3(2x + -5) Reorder the terms: 6 + -5(-2 + x) = 7x + -3(2x + -5) 6 + (-2 * -5 + x * -5) = 7x + -3(2x + -5) 6 + (10 + -5x) = 7x + -3(2x + -5) Combine like terms: 6 + 10 = 16 16 + -5x = 7x + -3(2x + -5) Reorder the terms: 16 + -5x = 7x + -3(-5 + 2x) 16 + -5x = 7x + (-5 * -3 + 2x * -3) 16 + -5x = 7x + (15 + -6x) Reorder the terms: 16 + -5x = 15 + 7x + -6x Combine like terms: 7x + -6x = 1x 16 + -5x = 15 + 1x Solving 16 + -5x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + -5x + -1x = 15 + 1x + -1x Combine like terms: -5x + -1x = -6x 16 + -6x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + -6x = 15 + 0 16 + -6x = 15 Add '-16' to each side of the equation. 16 + -16 + -6x = 15 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 15 + -16 -6x = 15 + -16 Combine like terms: 15 + -16 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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