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Simplifying 9x + 1 = 4(10 + -1x) Reorder the terms: 1 + 9x = 4(10 + -1x) 1 + 9x = (10 * 4 + -1x * 4) 1 + 9x = (40 + -4x) Solving 1 + 9x = 40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 9x + 4x = 40 + -4x + 4x Combine like terms: 9x + 4x = 13x 1 + 13x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 13x = 40 + 0 1 + 13x = 40 Add '-1' to each side of the equation. 1 + -1 + 13x = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 40 + -1 13x = 40 + -1 Combine like terms: 40 + -1 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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