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Simplifying 3(x + -1) + 2(x + -5) = 7(x + 11) Reorder the terms: 3(-1 + x) + 2(x + -5) = 7(x + 11) (-1 * 3 + x * 3) + 2(x + -5) = 7(x + 11) (-3 + 3x) + 2(x + -5) = 7(x + 11) Reorder the terms: -3 + 3x + 2(-5 + x) = 7(x + 11) -3 + 3x + (-5 * 2 + x * 2) = 7(x + 11) -3 + 3x + (-10 + 2x) = 7(x + 11) Reorder the terms: -3 + -10 + 3x + 2x = 7(x + 11) Combine like terms: -3 + -10 = -13 -13 + 3x + 2x = 7(x + 11) Combine like terms: 3x + 2x = 5x -13 + 5x = 7(x + 11) Reorder the terms: -13 + 5x = 7(11 + x) -13 + 5x = (11 * 7 + x * 7) -13 + 5x = (77 + 7x) Solving -13 + 5x = 77 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 5x + -7x = 77 + 7x + -7x Combine like terms: 5x + -7x = -2x -13 + -2x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -2x = 77 + 0 -13 + -2x = 77 Add '13' to each side of the equation. -13 + 13 + -2x = 77 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 77 + 13 -2x = 77 + 13 Combine like terms: 77 + 13 = 90 -2x = 90 Divide each side by '-2'. x = -45 Simplifying x = -45
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