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Simplifying (x + 1) + -7(x + 5) = -2x + 6 Reorder the terms: (1 + x) + -7(x + 5) = -2x + 6 Remove parenthesis around (1 + x) 1 + x + -7(x + 5) = -2x + 6 Reorder the terms: 1 + x + -7(5 + x) = -2x + 6 1 + x + (5 * -7 + x * -7) = -2x + 6 1 + x + (-35 + -7x) = -2x + 6 Reorder the terms: 1 + -35 + x + -7x = -2x + 6 Combine like terms: 1 + -35 = -34 -34 + x + -7x = -2x + 6 Combine like terms: x + -7x = -6x -34 + -6x = -2x + 6 Reorder the terms: -34 + -6x = 6 + -2x Solving -34 + -6x = 6 + -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. -34 + -6x + 2x = 6 + -2x + 2x Combine like terms: -6x + 2x = -4x -34 + -4x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + -4x = 6 + 0 -34 + -4x = 6 Add '34' to each side of the equation. -34 + 34 + -4x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = 6 + 34 -4x = 6 + 34 Combine like terms: 6 + 34 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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