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Simplifying 7(x + -4) + 3 = 9x + -2 Reorder the terms: 7(-4 + x) + 3 = 9x + -2 (-4 * 7 + x * 7) + 3 = 9x + -2 (-28 + 7x) + 3 = 9x + -2 Reorder the terms: -28 + 3 + 7x = 9x + -2 Combine like terms: -28 + 3 = -25 -25 + 7x = 9x + -2 Reorder the terms: -25 + 7x = -2 + 9x Solving -25 + 7x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -25 + 7x + -9x = -2 + 9x + -9x Combine like terms: 7x + -9x = -2x -25 + -2x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -25 + -2x = -2 + 0 -25 + -2x = -2 Add '25' to each side of the equation. -25 + 25 + -2x = -2 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = -2 + 25 -2x = -2 + 25 Combine like terms: -2 + 25 = 23 -2x = 23 Divide each side by '-2'. x = -11.5 Simplifying x = -11.5
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