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Simplifying 9(x + -5) + -2(x + 8) = 2x + 4 + 10x Reorder the terms: 9(-5 + x) + -2(x + 8) = 2x + 4 + 10x (-5 * 9 + x * 9) + -2(x + 8) = 2x + 4 + 10x (-45 + 9x) + -2(x + 8) = 2x + 4 + 10x Reorder the terms: -45 + 9x + -2(8 + x) = 2x + 4 + 10x -45 + 9x + (8 * -2 + x * -2) = 2x + 4 + 10x -45 + 9x + (-16 + -2x) = 2x + 4 + 10x Reorder the terms: -45 + -16 + 9x + -2x = 2x + 4 + 10x Combine like terms: -45 + -16 = -61 -61 + 9x + -2x = 2x + 4 + 10x Combine like terms: 9x + -2x = 7x -61 + 7x = 2x + 4 + 10x Reorder the terms: -61 + 7x = 4 + 2x + 10x Combine like terms: 2x + 10x = 12x -61 + 7x = 4 + 12x Solving -61 + 7x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -61 + 7x + -12x = 4 + 12x + -12x Combine like terms: 7x + -12x = -5x -61 + -5x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -61 + -5x = 4 + 0 -61 + -5x = 4 Add '61' to each side of the equation. -61 + 61 + -5x = 4 + 61 Combine like terms: -61 + 61 = 0 0 + -5x = 4 + 61 -5x = 4 + 61 Combine like terms: 4 + 61 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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