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Simplifying 7(x + -7) + 11 = 3(x + -6) Reorder the terms: 7(-7 + x) + 11 = 3(x + -6) (-7 * 7 + x * 7) + 11 = 3(x + -6) (-49 + 7x) + 11 = 3(x + -6) Reorder the terms: -49 + 11 + 7x = 3(x + -6) Combine like terms: -49 + 11 = -38 -38 + 7x = 3(x + -6) Reorder the terms: -38 + 7x = 3(-6 + x) -38 + 7x = (-6 * 3 + x * 3) -38 + 7x = (-18 + 3x) Solving -38 + 7x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -38 + 7x + -3x = -18 + 3x + -3x Combine like terms: 7x + -3x = 4x -38 + 4x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 4x = -18 + 0 -38 + 4x = -18 Add '38' to each side of the equation. -38 + 38 + 4x = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -18 + 38 4x = -18 + 38 Combine like terms: -18 + 38 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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