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Simplifying 10(x + 4) = 3(2x + 5) + 1 Reorder the terms: 10(4 + x) = 3(2x + 5) + 1 (4 * 10 + x * 10) = 3(2x + 5) + 1 (40 + 10x) = 3(2x + 5) + 1 Reorder the terms: 40 + 10x = 3(5 + 2x) + 1 40 + 10x = (5 * 3 + 2x * 3) + 1 40 + 10x = (15 + 6x) + 1 Reorder the terms: 40 + 10x = 15 + 1 + 6x Combine like terms: 15 + 1 = 16 40 + 10x = 16 + 6x Solving 40 + 10x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 10x + -6x = 16 + 6x + -6x Combine like terms: 10x + -6x = 4x 40 + 4x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 4x = 16 + 0 40 + 4x = 16 Add '-40' to each side of the equation. 40 + -40 + 4x = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 16 + -40 4x = 16 + -40 Combine like terms: 16 + -40 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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