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Simplifying 5(x + -2) + -1(x + -3) = 7x + -2(5 + -1x) Reorder the terms: 5(-2 + x) + -1(x + -3) = 7x + -2(5 + -1x) (-2 * 5 + x * 5) + -1(x + -3) = 7x + -2(5 + -1x) (-10 + 5x) + -1(x + -3) = 7x + -2(5 + -1x) Reorder the terms: -10 + 5x + -1(-3 + x) = 7x + -2(5 + -1x) -10 + 5x + (-3 * -1 + x * -1) = 7x + -2(5 + -1x) -10 + 5x + (3 + -1x) = 7x + -2(5 + -1x) Reorder the terms: -10 + 3 + 5x + -1x = 7x + -2(5 + -1x) Combine like terms: -10 + 3 = -7 -7 + 5x + -1x = 7x + -2(5 + -1x) Combine like terms: 5x + -1x = 4x -7 + 4x = 7x + -2(5 + -1x) -7 + 4x = 7x + (5 * -2 + -1x * -2) -7 + 4x = 7x + (-10 + 2x) Reorder the terms: -7 + 4x = -10 + 7x + 2x Combine like terms: 7x + 2x = 9x -7 + 4x = -10 + 9x Solving -7 + 4x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 4x + -9x = -10 + 9x + -9x Combine like terms: 4x + -9x = -5x -7 + -5x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -5x = -10 + 0 -7 + -5x = -10 Add '7' to each side of the equation. -7 + 7 + -5x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -10 + 7 -5x = -10 + 7 Combine like terms: -10 + 7 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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