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Simplifying 2(x + -5) + 1 = 7x + -3(x + 5) Reorder the terms: 2(-5 + x) + 1 = 7x + -3(x + 5) (-5 * 2 + x * 2) + 1 = 7x + -3(x + 5) (-10 + 2x) + 1 = 7x + -3(x + 5) Reorder the terms: -10 + 1 + 2x = 7x + -3(x + 5) Combine like terms: -10 + 1 = -9 -9 + 2x = 7x + -3(x + 5) Reorder the terms: -9 + 2x = 7x + -3(5 + x) -9 + 2x = 7x + (5 * -3 + x * -3) -9 + 2x = 7x + (-15 + -3x) Reorder the terms: -9 + 2x = -15 + 7x + -3x Combine like terms: 7x + -3x = 4x -9 + 2x = -15 + 4x Solving -9 + 2x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 2x + -4x = -15 + 4x + -4x Combine like terms: 2x + -4x = -2x -9 + -2x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -2x = -15 + 0 -9 + -2x = -15 Add '9' to each side of the equation. -9 + 9 + -2x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -15 + 9 -2x = -15 + 9 Combine like terms: -15 + 9 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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