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Simplifying 4(2x + 9) + -1(x + -1) = 10x + 1 Reorder the terms: 4(9 + 2x) + -1(x + -1) = 10x + 1 (9 * 4 + 2x * 4) + -1(x + -1) = 10x + 1 (36 + 8x) + -1(x + -1) = 10x + 1 Reorder the terms: 36 + 8x + -1(-1 + x) = 10x + 1 36 + 8x + (-1 * -1 + x * -1) = 10x + 1 36 + 8x + (1 + -1x) = 10x + 1 Reorder the terms: 36 + 1 + 8x + -1x = 10x + 1 Combine like terms: 36 + 1 = 37 37 + 8x + -1x = 10x + 1 Combine like terms: 8x + -1x = 7x 37 + 7x = 10x + 1 Reorder the terms: 37 + 7x = 1 + 10x Solving 37 + 7x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 37 + 7x + -10x = 1 + 10x + -10x Combine like terms: 7x + -10x = -3x 37 + -3x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 37 + -3x = 1 + 0 37 + -3x = 1 Add '-37' to each side of the equation. 37 + -37 + -3x = 1 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = 1 + -37 -3x = 1 + -37 Combine like terms: 1 + -37 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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