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Simplifying 7(x + -7) + 9 = 4(x + -7) Reorder the terms: 7(-7 + x) + 9 = 4(x + -7) (-7 * 7 + x * 7) + 9 = 4(x + -7) (-49 + 7x) + 9 = 4(x + -7) Reorder the terms: -49 + 9 + 7x = 4(x + -7) Combine like terms: -49 + 9 = -40 -40 + 7x = 4(x + -7) Reorder the terms: -40 + 7x = 4(-7 + x) -40 + 7x = (-7 * 4 + x * 4) -40 + 7x = (-28 + 4x) Solving -40 + 7x = -28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 7x + -4x = -28 + 4x + -4x Combine like terms: 7x + -4x = 3x -40 + 3x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 3x = -28 + 0 -40 + 3x = -28 Add '40' to each side of the equation. -40 + 40 + 3x = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -28 + 40 3x = -28 + 40 Combine like terms: -28 + 40 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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