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Simplifying 9x + -5(x + -7) = 2(x + -2) + 1 Reorder the terms: 9x + -5(-7 + x) = 2(x + -2) + 1 9x + (-7 * -5 + x * -5) = 2(x + -2) + 1 9x + (35 + -5x) = 2(x + -2) + 1 Reorder the terms: 35 + 9x + -5x = 2(x + -2) + 1 Combine like terms: 9x + -5x = 4x 35 + 4x = 2(x + -2) + 1 Reorder the terms: 35 + 4x = 2(-2 + x) + 1 35 + 4x = (-2 * 2 + x * 2) + 1 35 + 4x = (-4 + 2x) + 1 Reorder the terms: 35 + 4x = -4 + 1 + 2x Combine like terms: -4 + 1 = -3 35 + 4x = -3 + 2x Solving 35 + 4x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + 4x + -2x = -3 + 2x + -2x Combine like terms: 4x + -2x = 2x 35 + 2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 2x = -3 + 0 35 + 2x = -3 Add '-35' to each side of the equation. 35 + -35 + 2x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = -3 + -35 2x = -3 + -35 Combine like terms: -3 + -35 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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