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Simplifying 5(x + -2) + -1(x + -3) = -19 Reorder the terms: 5(-2 + x) + -1(x + -3) = -19 (-2 * 5 + x * 5) + -1(x + -3) = -19 (-10 + 5x) + -1(x + -3) = -19 Reorder the terms: -10 + 5x + -1(-3 + x) = -19 -10 + 5x + (-3 * -1 + x * -1) = -19 -10 + 5x + (3 + -1x) = -19 Reorder the terms: -10 + 3 + 5x + -1x = -19 Combine like terms: -10 + 3 = -7 -7 + 5x + -1x = -19 Combine like terms: 5x + -1x = 4x -7 + 4x = -19 Solving -7 + 4x = -19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -19 + 7 4x = -19 + 7 Combine like terms: -19 + 7 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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