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Simplifying 100 = -5(x + -1) + 4(x + -6) Reorder the terms: 100 = -5(-1 + x) + 4(x + -6) 100 = (-1 * -5 + x * -5) + 4(x + -6) 100 = (5 + -5x) + 4(x + -6) Reorder the terms: 100 = 5 + -5x + 4(-6 + x) 100 = 5 + -5x + (-6 * 4 + x * 4) 100 = 5 + -5x + (-24 + 4x) Reorder the terms: 100 = 5 + -24 + -5x + 4x Combine like terms: 5 + -24 = -19 100 = -19 + -5x + 4x Combine like terms: -5x + 4x = -1x 100 = -19 + -1x Solving 100 = -19 + -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. 100 + x = -19 + -1x + x Combine like terms: -1x + x = 0 100 + x = -19 + 0 100 + x = -19 Add '-100' to each side of the equation. 100 + -100 + x = -19 + -100 Combine like terms: 100 + -100 = 0 0 + x = -19 + -100 x = -19 + -100 Combine like terms: -19 + -100 = -119 x = -119 Simplifying x = -119
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