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Simplifying 7(x + -7) + 11 = 2(x + -4) Reorder the terms: 7(-7 + x) + 11 = 2(x + -4) (-7 * 7 + x * 7) + 11 = 2(x + -4) (-49 + 7x) + 11 = 2(x + -4) Reorder the terms: -49 + 11 + 7x = 2(x + -4) Combine like terms: -49 + 11 = -38 -38 + 7x = 2(x + -4) Reorder the terms: -38 + 7x = 2(-4 + x) -38 + 7x = (-4 * 2 + x * 2) -38 + 7x = (-8 + 2x) Solving -38 + 7x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 7x + -2x = -8 + 2x + -2x Combine like terms: 7x + -2x = 5x -38 + 5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 5x = -8 + 0 -38 + 5x = -8 Add '38' to each side of the equation. -38 + 38 + 5x = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = -8 + 38 5x = -8 + 38 Combine like terms: -8 + 38 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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