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Simplifying X + 5(2x + -3x) + -10 = 126 + -3(x + -1) Combine like terms: 2x + -3x = -1x X + 5(-1x) + -10 = 126 + -3(x + -1) Remove parenthesis around (-1x) X + 5 * -1x + -10 = 126 + -3(x + -1) Multiply 5 * -1 X + -5x + -10 = 126 + -3(x + -1) Reorder the terms: -10 + X + -5x = 126 + -3(x + -1) Reorder the terms: -10 + X + -5x = 126 + -3(-1 + x) -10 + X + -5x = 126 + (-1 * -3 + x * -3) -10 + X + -5x = 126 + (3 + -3x) Combine like terms: 126 + 3 = 129 -10 + X + -5x = 129 + -3x Solving -10 + X + -5x = 129 + -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 + -5x = 129 + 10 + -3x Reorder the terms: -10 + 10 + X + -5x = 129 + 10 + -3x Combine like terms: -10 + 10 = 0 0 + X + -5x = 129 + 10 + -3x X + -5x = 129 + 10 + -3x Combine like terms: 129 + 10 = 139 X + -5x = 139 + -3x Add '5x' to each side of the equation. X + -5x + 5x = 139 + -3x + 5x Combine like terms: -5x + 5x = 0 X + 0 = 139 + -3x + 5x X = 139 + -3x + 5x Combine like terms: -3x + 5x = 2x X = 139 + 2x Simplifying X = 139 + 2x
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