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Simplifying X + 5(2x + 3x) + -10 = 126 + 3(x + -1) Combine like terms: 2x + 3x = 5x X + 5(5x) + -10 = 126 + 3(x + -1) Remove parenthesis around (5x) X + 5 * 5x + -10 = 126 + 3(x + -1) Multiply 5 * 5 X + 25x + -10 = 126 + 3(x + -1) Reorder the terms: -10 + X + 25x = 126 + 3(x + -1) Reorder the terms: -10 + X + 25x = 126 + 3(-1 + x) -10 + X + 25x = 126 + (-1 * 3 + x * 3) -10 + X + 25x = 126 + (-3 + 3x) Combine like terms: 126 + -3 = 123 -10 + X + 25x = 123 + 3x Solving -10 + X + 25x = 123 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + X + 10 + 25x = 123 + 10 + 3x Reorder the terms: -10 + 10 + X + 25x = 123 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + X + 25x = 123 + 10 + 3x X + 25x = 123 + 10 + 3x Combine like terms: 123 + 10 = 133 X + 25x = 133 + 3x Add '-25x' to each side of the equation. X + 25x + -25x = 133 + 3x + -25x Combine like terms: 25x + -25x = 0 X + 0 = 133 + 3x + -25x X = 133 + 3x + -25x Combine like terms: 3x + -25x = -22x X = 133 + -22x Simplifying X = 133 + -22x
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