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Simplifying 3(x + -7) = 8 + -1(x + 13) Reorder the terms: 3(-7 + x) = 8 + -1(x + 13) (-7 * 3 + x * 3) = 8 + -1(x + 13) (-21 + 3x) = 8 + -1(x + 13) Reorder the terms: -21 + 3x = 8 + -1(13 + x) -21 + 3x = 8 + (13 * -1 + x * -1) -21 + 3x = 8 + (-13 + -1x) Combine like terms: 8 + -13 = -5 -21 + 3x = -5 + -1x Solving -21 + 3x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 3x + x = -5 + -1x + x Combine like terms: 3x + x = 4x -21 + 4x = -5 + -1x + x Combine like terms: -1x + x = 0 -21 + 4x = -5 + 0 -21 + 4x = -5 Add '21' to each side of the equation. -21 + 21 + 4x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -5 + 21 4x = -5 + 21 Combine like terms: -5 + 21 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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