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Simplifying 2(x + -8) + 7 = -5(x + 2) + -3x + -19 Reorder the terms: 2(-8 + x) + 7 = -5(x + 2) + -3x + -19 (-8 * 2 + x * 2) + 7 = -5(x + 2) + -3x + -19 (-16 + 2x) + 7 = -5(x + 2) + -3x + -19 Reorder the terms: -16 + 7 + 2x = -5(x + 2) + -3x + -19 Combine like terms: -16 + 7 = -9 -9 + 2x = -5(x + 2) + -3x + -19 Reorder the terms: -9 + 2x = -5(2 + x) + -3x + -19 -9 + 2x = (2 * -5 + x * -5) + -3x + -19 -9 + 2x = (-10 + -5x) + -3x + -19 Reorder the terms: -9 + 2x = -10 + -19 + -5x + -3x Combine like terms: -10 + -19 = -29 -9 + 2x = -29 + -5x + -3x Combine like terms: -5x + -3x = -8x -9 + 2x = -29 + -8x Solving -9 + 2x = -29 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 2x + 8x = -29 + -8x + 8x Combine like terms: 2x + 8x = 10x -9 + 10x = -29 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 10x = -29 + 0 -9 + 10x = -29 Add '9' to each side of the equation. -9 + 9 + 10x = -29 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -29 + 9 10x = -29 + 9 Combine like terms: -29 + 9 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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