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Simplifying 7(x + -7) + 12 = 4(x + -7) Reorder the terms: 7(-7 + x) + 12 = 4(x + -7) (-7 * 7 + x * 7) + 12 = 4(x + -7) (-49 + 7x) + 12 = 4(x + -7) Reorder the terms: -49 + 12 + 7x = 4(x + -7) Combine like terms: -49 + 12 = -37 -37 + 7x = 4(x + -7) Reorder the terms: -37 + 7x = 4(-7 + x) -37 + 7x = (-7 * 4 + x * 4) -37 + 7x = (-28 + 4x) Solving -37 + 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. -37 + 7x + -4x = -28 + 4x + -4x Combine like terms: 7x + -4x = 3x -37 + 3x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 3x = -28 + 0 -37 + 3x = -28 Add '37' to each side of the equation. -37 + 37 + 3x = -28 + 37 Combine like terms: -37 + 37 = 0 0 + 3x = -28 + 37 3x = -28 + 37 Combine like terms: -28 + 37 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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