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Simplifying 4x + (-7) = 2x + -1(-1) 4x + -7 = 2x + -1(-1) Reorder the terms: -7 + 4x = 2x + -1(-1) Multiply -1 * -1 -7 + 4x = 2x + 1 Reorder the terms: -7 + 4x = 1 + 2x Solving -7 + 4x = 1 + 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. -7 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = 1 + 0 -7 + 2x = 1 Add '7' to each side of the equation. -7 + 7 + 2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 1 + 7 2x = 1 + 7 Combine like terms: 1 + 7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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