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Simplifying -2(2x + 5) = -3(x + -3) Reorder the terms: -2(5 + 2x) = -3(x + -3) (5 * -2 + 2x * -2) = -3(x + -3) (-10 + -4x) = -3(x + -3) Reorder the terms: -10 + -4x = -3(-3 + x) -10 + -4x = (-3 * -3 + x * -3) -10 + -4x = (9 + -3x) Solving -10 + -4x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -4x + 3x = 9 + -3x + 3x Combine like terms: -4x + 3x = -1x -10 + -1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -1x = 9 + 0 -10 + -1x = 9 Add '10' to each side of the equation. -10 + 10 + -1x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 9 + 10 -1x = 9 + 10 Combine like terms: 9 + 10 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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