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Simplifying 2(5x + -11) + 7 = 3(x + -7) + -15 Reorder the terms: 2(-11 + 5x) + 7 = 3(x + -7) + -15 (-11 * 2 + 5x * 2) + 7 = 3(x + -7) + -15 (-22 + 10x) + 7 = 3(x + -7) + -15 Reorder the terms: -22 + 7 + 10x = 3(x + -7) + -15 Combine like terms: -22 + 7 = -15 -15 + 10x = 3(x + -7) + -15 Reorder the terms: -15 + 10x = 3(-7 + x) + -15 -15 + 10x = (-7 * 3 + x * 3) + -15 -15 + 10x = (-21 + 3x) + -15 Reorder the terms: -15 + 10x = -21 + -15 + 3x Combine like terms: -21 + -15 = -36 -15 + 10x = -36 + 3x Solving -15 + 10x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 10x + -3x = -36 + 3x + -3x Combine like terms: 10x + -3x = 7x -15 + 7x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 7x = -36 + 0 -15 + 7x = -36 Add '15' to each side of the equation. -15 + 15 + 7x = -36 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -36 + 15 7x = -36 + 15 Combine like terms: -36 + 15 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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