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Simplifying (x + -6) + -100 = 4(x + -1) Reorder the terms: (-6 + x) + -100 = 4(x + -1) Remove parenthesis around (-6 + x) -6 + x + -100 = 4(x + -1) Reorder the terms: -6 + -100 + x = 4(x + -1) Combine like terms: -6 + -100 = -106 -106 + x = 4(x + -1) Reorder the terms: -106 + x = 4(-1 + x) -106 + x = (-1 * 4 + x * 4) -106 + x = (-4 + 4x) Solving -106 + x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -106 + x + -4x = -4 + 4x + -4x Combine like terms: x + -4x = -3x -106 + -3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -106 + -3x = -4 + 0 -106 + -3x = -4 Add '106' to each side of the equation. -106 + 106 + -3x = -4 + 106 Combine like terms: -106 + 106 = 0 0 + -3x = -4 + 106 -3x = -4 + 106 Combine like terms: -4 + 106 = 102 -3x = 102 Divide each side by '-3'. x = -34 Simplifying x = -34
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