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Simplifying 2(x + -5) + 1 = 4x + -7 Reorder the terms: 2(-5 + x) + 1 = 4x + -7 (-5 * 2 + x * 2) + 1 = 4x + -7 (-10 + 2x) + 1 = 4x + -7 Reorder the terms: -10 + 1 + 2x = 4x + -7 Combine like terms: -10 + 1 = -9 -9 + 2x = 4x + -7 Reorder the terms: -9 + 2x = -7 + 4x Solving -9 + 2x = -7 + 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 = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x -9 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -2x = -7 + 0 -9 + -2x = -7 Add '9' to each side of the equation. -9 + 9 + -2x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -7 + 9 -2x = -7 + 9 Combine like terms: -7 + 9 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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