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Simplifying 4(5 + x) = 5(4x + -1) * 55 (5 * 4 + x * 4) = 5(4x + -1) * 55 (20 + 4x) = 5(4x + -1) * 55 Reorder the terms: 20 + 4x = 5(-1 + 4x) * 55 Reorder the terms for easier multiplication: 20 + 4x = 5 * 55(-1 + 4x) Multiply 5 * 55 20 + 4x = 275(-1 + 4x) 20 + 4x = (-1 * 275 + 4x * 275) 20 + 4x = (-275 + 1100x) Solving 20 + 4x = -275 + 1100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1100x' to each side of the equation. 20 + 4x + -1100x = -275 + 1100x + -1100x Combine like terms: 4x + -1100x = -1096x 20 + -1096x = -275 + 1100x + -1100x Combine like terms: 1100x + -1100x = 0 20 + -1096x = -275 + 0 20 + -1096x = -275 Add '-20' to each side of the equation. 20 + -20 + -1096x = -275 + -20 Combine like terms: 20 + -20 = 0 0 + -1096x = -275 + -20 -1096x = -275 + -20 Combine like terms: -275 + -20 = -295 -1096x = -295 Divide each side by '-1096'. x = 0.2691605839 Simplifying x = 0.2691605839
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