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Simplifying 4(x + 10) + 5x = 6x + 1 Reorder the terms: 4(10 + x) + 5x = 6x + 1 (10 * 4 + x * 4) + 5x = 6x + 1 (40 + 4x) + 5x = 6x + 1 Combine like terms: 4x + 5x = 9x 40 + 9x = 6x + 1 Reorder the terms: 40 + 9x = 1 + 6x Solving 40 + 9x = 1 + 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 + 9x + -6x = 1 + 6x + -6x Combine like terms: 9x + -6x = 3x 40 + 3x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 3x = 1 + 0 40 + 3x = 1 Add '-40' to each side of the equation. 40 + -40 + 3x = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 1 + -40 3x = 1 + -40 Combine like terms: 1 + -40 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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