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Simplifying 26(x + -1) + 3 = 63 + -1(x + -4) Reorder the terms: 26(-1 + x) + 3 = 63 + -1(x + -4) (-1 * 26 + x * 26) + 3 = 63 + -1(x + -4) (-26 + 26x) + 3 = 63 + -1(x + -4) Reorder the terms: -26 + 3 + 26x = 63 + -1(x + -4) Combine like terms: -26 + 3 = -23 -23 + 26x = 63 + -1(x + -4) Reorder the terms: -23 + 26x = 63 + -1(-4 + x) -23 + 26x = 63 + (-4 * -1 + x * -1) -23 + 26x = 63 + (4 + -1x) Combine like terms: 63 + 4 = 67 -23 + 26x = 67 + -1x Solving -23 + 26x = 67 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -23 + 26x + x = 67 + -1x + x Combine like terms: 26x + x = 27x -23 + 27x = 67 + -1x + x Combine like terms: -1x + x = 0 -23 + 27x = 67 + 0 -23 + 27x = 67 Add '23' to each side of the equation. -23 + 23 + 27x = 67 + 23 Combine like terms: -23 + 23 = 0 0 + 27x = 67 + 23 27x = 67 + 23 Combine like terms: 67 + 23 = 90 27x = 90 Divide each side by '27'. x = 3.333333333 Simplifying x = 3.333333333
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