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Simplifying 9x + -2(4x + 5) = 2x + -1(4 + -1x) + -12 Reorder the terms: 9x + -2(5 + 4x) = 2x + -1(4 + -1x) + -12 9x + (5 * -2 + 4x * -2) = 2x + -1(4 + -1x) + -12 9x + (-10 + -8x) = 2x + -1(4 + -1x) + -12 Reorder the terms: -10 + 9x + -8x = 2x + -1(4 + -1x) + -12 Combine like terms: 9x + -8x = 1x -10 + 1x = 2x + -1(4 + -1x) + -12 -10 + 1x = 2x + (4 * -1 + -1x * -1) + -12 -10 + 1x = 2x + (-4 + 1x) + -12 Reorder the terms: -10 + 1x = -4 + -12 + 2x + 1x Combine like terms: -4 + -12 = -16 -10 + 1x = -16 + 2x + 1x Combine like terms: 2x + 1x = 3x -10 + 1x = -16 + 3x Solving -10 + 1x = -16 + 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 + 1x + -3x = -16 + 3x + -3x Combine like terms: 1x + -3x = -2x -10 + -2x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -2x = -16 + 0 -10 + -2x = -16 Add '10' to each side of the equation. -10 + 10 + -2x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -16 + 10 -2x = -16 + 10 Combine like terms: -16 + 10 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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