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Simplifying 5 + -1(2x + -4) = 4(9x + 2) + -7 Reorder the terms: 5 + -1(-4 + 2x) = 4(9x + 2) + -7 5 + (-4 * -1 + 2x * -1) = 4(9x + 2) + -7 5 + (4 + -2x) = 4(9x + 2) + -7 Combine like terms: 5 + 4 = 9 9 + -2x = 4(9x + 2) + -7 Reorder the terms: 9 + -2x = 4(2 + 9x) + -7 9 + -2x = (2 * 4 + 9x * 4) + -7 9 + -2x = (8 + 36x) + -7 Reorder the terms: 9 + -2x = 8 + -7 + 36x Combine like terms: 8 + -7 = 1 9 + -2x = 1 + 36x Solving 9 + -2x = 1 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 9 + -2x + -36x = 1 + 36x + -36x Combine like terms: -2x + -36x = -38x 9 + -38x = 1 + 36x + -36x Combine like terms: 36x + -36x = 0 9 + -38x = 1 + 0 9 + -38x = 1 Add '-9' to each side of the equation. 9 + -9 + -38x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -38x = 1 + -9 -38x = 1 + -9 Combine like terms: 1 + -9 = -8 -38x = -8 Divide each side by '-38'. x = 0.2105263158 Simplifying x = 0.2105263158
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