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Simplifying -5(-5x + 5) + -6x = 3(x + -4) + -9 Reorder the terms: -5(5 + -5x) + -6x = 3(x + -4) + -9 (5 * -5 + -5x * -5) + -6x = 3(x + -4) + -9 (-25 + 25x) + -6x = 3(x + -4) + -9 Combine like terms: 25x + -6x = 19x -25 + 19x = 3(x + -4) + -9 Reorder the terms: -25 + 19x = 3(-4 + x) + -9 -25 + 19x = (-4 * 3 + x * 3) + -9 -25 + 19x = (-12 + 3x) + -9 Reorder the terms: -25 + 19x = -12 + -9 + 3x Combine like terms: -12 + -9 = -21 -25 + 19x = -21 + 3x Solving -25 + 19x = -21 + 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. -25 + 19x + -3x = -21 + 3x + -3x Combine like terms: 19x + -3x = 16x -25 + 16x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 16x = -21 + 0 -25 + 16x = -21 Add '25' to each side of the equation. -25 + 25 + 16x = -21 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = -21 + 25 16x = -21 + 25 Combine like terms: -21 + 25 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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