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Simplifying -4 + 3x = 8(5 + 4x) + 1 -4 + 3x = (5 * 8 + 4x * 8) + 1 -4 + 3x = (40 + 32x) + 1 Reorder the terms: -4 + 3x = 40 + 1 + 32x Combine like terms: 40 + 1 = 41 -4 + 3x = 41 + 32x Solving -4 + 3x = 41 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -4 + 3x + -32x = 41 + 32x + -32x Combine like terms: 3x + -32x = -29x -4 + -29x = 41 + 32x + -32x Combine like terms: 32x + -32x = 0 -4 + -29x = 41 + 0 -4 + -29x = 41 Add '4' to each side of the equation. -4 + 4 + -29x = 41 + 4 Combine like terms: -4 + 4 = 0 0 + -29x = 41 + 4 -29x = 41 + 4 Combine like terms: 41 + 4 = 45 -29x = 45 Divide each side by '-29'. x = -1.551724138 Simplifying x = -1.551724138
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