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Simplifying 8(14x + -25)(3 + -1) + 571 + -15x = 1948(x + -1)(2 + -1) Reorder the terms: 8(-25 + 14x)(3 + -1) + 571 + -15x = 1948(x + -1)(2 + -1) Combine like terms: 3 + -1 = 2 8(-25 + 14x)(2) + 571 + -15x = 1948(x + -1)(2 + -1) Reorder the terms for easier multiplication: 8 * 2(-25 + 14x) + 571 + -15x = 1948(x + -1)(2 + -1) Multiply 8 * 2 16(-25 + 14x) + 571 + -15x = 1948(x + -1)(2 + -1) (-25 * 16 + 14x * 16) + 571 + -15x = 1948(x + -1)(2 + -1) (-400 + 224x) + 571 + -15x = 1948(x + -1)(2 + -1) Reorder the terms: -400 + 571 + 224x + -15x = 1948(x + -1)(2 + -1) Combine like terms: -400 + 571 = 171 171 + 224x + -15x = 1948(x + -1)(2 + -1) Combine like terms: 224x + -15x = 209x 171 + 209x = 1948(x + -1)(2 + -1) Reorder the terms: 171 + 209x = 1948(-1 + x)(2 + -1) Combine like terms: 2 + -1 = 1 171 + 209x = 1948(-1 + x)(1) Reorder the terms for easier multiplication: 171 + 209x = 1948 * 1(-1 + x) Multiply 1948 * 1 171 + 209x = 1948(-1 + x) 171 + 209x = (-1 * 1948 + x * 1948) 171 + 209x = (-1948 + 1948x) Solving 171 + 209x = -1948 + 1948x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1948x' to each side of the equation. 171 + 209x + -1948x = -1948 + 1948x + -1948x Combine like terms: 209x + -1948x = -1739x 171 + -1739x = -1948 + 1948x + -1948x Combine like terms: 1948x + -1948x = 0 171 + -1739x = -1948 + 0 171 + -1739x = -1948 Add '-171' to each side of the equation. 171 + -171 + -1739x = -1948 + -171 Combine like terms: 171 + -171 = 0 0 + -1739x = -1948 + -171 -1739x = -1948 + -171 Combine like terms: -1948 + -171 = -2119 -1739x = -2119 Divide each side by '-1739'. x = 1.218516389 Simplifying x = 1.218516389
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