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Simplifying 4(x + -7) = 9(x + 3) Reorder the terms: 4(-7 + x) = 9(x + 3) (-7 * 4 + x * 4) = 9(x + 3) (-28 + 4x) = 9(x + 3) Reorder the terms: -28 + 4x = 9(3 + x) -28 + 4x = (3 * 9 + x * 9) -28 + 4x = (27 + 9x) Solving -28 + 4x = 27 + 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. -28 + 4x + -9x = 27 + 9x + -9x Combine like terms: 4x + -9x = -5x -28 + -5x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + -5x = 27 + 0 -28 + -5x = 27 Add '28' to each side of the equation. -28 + 28 + -5x = 27 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 27 + 28 -5x = 27 + 28 Combine like terms: 27 + 28 = 55 -5x = 55 Divide each side by '-5'. x = -11 Simplifying x = -11
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