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Simplifying -2(x + 4) = 5x + -7 + 3(3x + 3) Reorder the terms: -2(4 + x) = 5x + -7 + 3(3x + 3) (4 * -2 + x * -2) = 5x + -7 + 3(3x + 3) (-8 + -2x) = 5x + -7 + 3(3x + 3) Reorder the terms: -8 + -2x = 5x + -7 + 3(3 + 3x) -8 + -2x = 5x + -7 + (3 * 3 + 3x * 3) -8 + -2x = 5x + -7 + (9 + 9x) Reorder the terms: -8 + -2x = -7 + 9 + 5x + 9x Combine like terms: -7 + 9 = 2 -8 + -2x = 2 + 5x + 9x Combine like terms: 5x + 9x = 14x -8 + -2x = 2 + 14x Solving -8 + -2x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + -2x + -14x = 2 + 14x + -14x Combine like terms: -2x + -14x = -16x -8 + -16x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -16x = 2 + 0 -8 + -16x = 2 Add '8' to each side of the equation. -8 + 8 + -16x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = 2 + 8 -16x = 2 + 8 Combine like terms: 2 + 8 = 10 -16x = 10 Divide each side by '-16'. x = -0.625 Simplifying x = -0.625
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