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Simplifying -23 = -2(1 + 5x) + 3(x + -7) -23 = (1 * -2 + 5x * -2) + 3(x + -7) -23 = (-2 + -10x) + 3(x + -7) Reorder the terms: -23 = -2 + -10x + 3(-7 + x) -23 = -2 + -10x + (-7 * 3 + x * 3) -23 = -2 + -10x + (-21 + 3x) Reorder the terms: -23 = -2 + -21 + -10x + 3x Combine like terms: -2 + -21 = -23 -23 = -23 + -10x + 3x Combine like terms: -10x + 3x = -7x -23 = -23 + -7x Add '23' to each side of the equation. -23 + 23 = -23 + 23 + -7x Combine like terms: -23 + 23 = 0 0 = -23 + 23 + -7x Combine like terms: -23 + 23 = 0 0 = 0 + -7x 0 = -7x Solving 0 = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 0 + 7x = -7x + 7x Remove the zero: 7x = -7x + 7x Combine like terms: -7x + 7x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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