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Simplifying 100 = -1(x + -1) + 4(x + -6) * 100 Reorder the terms: 100 = -1(-1 + x) + 4(x + -6) * 100 100 = (-1 * -1 + x * -1) + 4(x + -6) * 100 100 = (1 + -1x) + 4(x + -6) * 100 Reorder the terms: 100 = 1 + -1x + 4(-6 + x) * 100 Reorder the terms for easier multiplication: 100 = 1 + -1x + 4 * 100(-6 + x) Multiply 4 * 100 100 = 1 + -1x + 400(-6 + x) 100 = 1 + -1x + (-6 * 400 + x * 400) 100 = 1 + -1x + (-2400 + 400x) Reorder the terms: 100 = 1 + -2400 + -1x + 400x Combine like terms: 1 + -2400 = -2399 100 = -2399 + -1x + 400x Combine like terms: -1x + 400x = 399x 100 = -2399 + 399x Solving 100 = -2399 + 399x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-399x' to each side of the equation. 100 + -399x = -2399 + 399x + -399x Combine like terms: 399x + -399x = 0 100 + -399x = -2399 + 0 100 + -399x = -2399 Add '-100' to each side of the equation. 100 + -100 + -399x = -2399 + -100 Combine like terms: 100 + -100 = 0 0 + -399x = -2399 + -100 -399x = -2399 + -100 Combine like terms: -2399 + -100 = -2499 -399x = -2499 Divide each side by '-399'. x = 6.263157895 Simplifying x = 6.263157895
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