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Simplifying -5(2x + 7) + 3x = 2x + 12 Reorder the terms: -5(7 + 2x) + 3x = 2x + 12 (7 * -5 + 2x * -5) + 3x = 2x + 12 (-35 + -10x) + 3x = 2x + 12 Combine like terms: -10x + 3x = -7x -35 + -7x = 2x + 12 Reorder the terms: -35 + -7x = 12 + 2x Solving -35 + -7x = 12 + 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 + -7x + -2x = 12 + 2x + -2x Combine like terms: -7x + -2x = -9x -35 + -9x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + -9x = 12 + 0 -35 + -9x = 12 Add '35' to each side of the equation. -35 + 35 + -9x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = 12 + 35 -9x = 12 + 35 Combine like terms: 12 + 35 = 47 -9x = 47 Divide each side by '-9'. x = -5.222222222 Simplifying x = -5.222222222
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