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