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Simplifying 3x + -56 = 100 + -1(x + -7) Reorder the terms: -56 + 3x = 100 + -1(x + -7) Reorder the terms: -56 + 3x = 100 + -1(-7 + x) -56 + 3x = 100 + (-7 * -1 + x * -1) -56 + 3x = 100 + (7 + -1x) Combine like terms: 100 + 7 = 107 -56 + 3x = 107 + -1x Solving -56 + 3x = 107 + -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. -56 + 3x + x = 107 + -1x + x Combine like terms: 3x + x = 4x -56 + 4x = 107 + -1x + x Combine like terms: -1x + x = 0 -56 + 4x = 107 + 0 -56 + 4x = 107 Add '56' to each side of the equation. -56 + 56 + 4x = 107 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = 107 + 56 4x = 107 + 56 Combine like terms: 107 + 56 = 163 4x = 163 Divide each side by '4'. x = 40.75 Simplifying x = 40.75
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