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Simplifying 5x + -1(x + 1) = -3 + 6(x + -7) Reorder the terms: 5x + -1(1 + x) = -3 + 6(x + -7) 5x + (1 * -1 + x * -1) = -3 + 6(x + -7) 5x + (-1 + -1x) = -3 + 6(x + -7) Reorder the terms: -1 + 5x + -1x = -3 + 6(x + -7) Combine like terms: 5x + -1x = 4x -1 + 4x = -3 + 6(x + -7) Reorder the terms: -1 + 4x = -3 + 6(-7 + x) -1 + 4x = -3 + (-7 * 6 + x * 6) -1 + 4x = -3 + (-42 + 6x) Combine like terms: -3 + -42 = -45 -1 + 4x = -45 + 6x Solving -1 + 4x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 4x + -6x = -45 + 6x + -6x Combine like terms: 4x + -6x = -2x -1 + -2x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -2x = -45 + 0 -1 + -2x = -45 Add '1' to each side of the equation. -1 + 1 + -2x = -45 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -45 + 1 -2x = -45 + 1 Combine like terms: -45 + 1 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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