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Simplifying -5(2x + 7) = 2(x + 2) + 9 Reorder the terms: -5(7 + 2x) = 2(x + 2) + 9 (7 * -5 + 2x * -5) = 2(x + 2) + 9 (-35 + -10x) = 2(x + 2) + 9 Reorder the terms: -35 + -10x = 2(2 + x) + 9 -35 + -10x = (2 * 2 + x * 2) + 9 -35 + -10x = (4 + 2x) + 9 Reorder the terms: -35 + -10x = 4 + 9 + 2x Combine like terms: 4 + 9 = 13 -35 + -10x = 13 + 2x Solving -35 + -10x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + -10x + -2x = 13 + 2x + -2x Combine like terms: -10x + -2x = -12x -35 + -12x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + -12x = 13 + 0 -35 + -12x = 13 Add '35' to each side of the equation. -35 + 35 + -12x = 13 + 35 Combine like terms: -35 + 35 = 0 0 + -12x = 13 + 35 -12x = 13 + 35 Combine like terms: 13 + 35 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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