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Simplifying 5(x + -2) + -1(-1x + 3) = 7 Reorder the terms: 5(-2 + x) + -1(-1x + 3) = 7 (-2 * 5 + x * 5) + -1(-1x + 3) = 7 (-10 + 5x) + -1(-1x + 3) = 7 Reorder the terms: -10 + 5x + -1(3 + -1x) = 7 -10 + 5x + (3 * -1 + -1x * -1) = 7 -10 + 5x + (-3 + 1x) = 7 Reorder the terms: -10 + -3 + 5x + 1x = 7 Combine like terms: -10 + -3 = -13 -13 + 5x + 1x = 7 Combine like terms: 5x + 1x = 6x -13 + 6x = 7 Solving -13 + 6x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 6x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 7 + 13 6x = 7 + 13 Combine like terms: 7 + 13 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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